diff --git a/apps/calculation/additional_outputs/matrix_list_controller.cpp b/apps/calculation/additional_outputs/matrix_list_controller.cpp
index 4eaf9e465..274c0a125 100644
--- a/apps/calculation/additional_outputs/matrix_list_controller.cpp
+++ b/apps/calculation/additional_outputs/matrix_list_controller.cpp
@@ -56,13 +56,13 @@ void MatrixListController::setExpression(Poincare::Expression e) {
   }
   // 3. Matrix row echelon form
   messageIndex = 2;
-  Expression rowEchelonForm = MatrixRef::Builder(m_expression.clone());
+  Expression rowEchelonForm = MatrixRowEchelonForm::Builder(m_expression.clone());
   m_indexMessageMap[index] = messageIndex++;
   m_layouts[index++] = getLayoutFromExpression(rowEchelonForm, context, preferences);
   /* 4. Matrix reduced row echelon form
    *    it can be computed from row echelon form to save computation time.*/
   m_indexMessageMap[index] = messageIndex++;
-  m_layouts[index++] = getLayoutFromExpression(MatrixRref::Builder(rowEchelonForm), context, preferences);
+  m_layouts[index++] = getLayoutFromExpression(MatrixReducedRowEchelonForm::Builder(rowEchelonForm), context, preferences);
   // 5. Matrix trace if square matrix
   if (mIsSquared) {
     m_indexMessageMap[index] = messageIndex++;
diff --git a/poincare/Makefile b/poincare/Makefile
index 482617398..71dcd46db 100644
--- a/poincare/Makefile
+++ b/poincare/Makefile
@@ -101,8 +101,9 @@ poincare_src += $(addprefix poincare/src/,\
   matrix_inverse.cpp \
   matrix_trace.cpp \
   matrix_transpose.cpp \
-  matrix_ref.cpp \
-  matrix_rref.cpp \
+  matrix_echelon_form.cpp \
+  matrix_row_echelon_form.cpp \
+  matrix_reduced_row_echelon_form.cpp \
   multiplication.cpp \
   n_ary_expression.cpp \
   naperian_logarithm.cpp \
diff --git a/poincare/include/poincare/expression.h b/poincare/include/poincare/expression.h
index b6d16787b..e5aa58747 100644
--- a/poincare/include/poincare/expression.h
+++ b/poincare/include/poincare/expression.h
@@ -63,8 +63,9 @@ class Expression : public TreeHandle {
   friend class MatrixInverse;
   friend class MatrixTrace;
   friend class MatrixTranspose;
-  friend class MatrixRef;
-  friend class MatrixRref;
+  friend class MatrixEchelonForm;
+  friend class MatrixRowEchelonForm;
+  friend class MatrixReducedRowEchelonForm;
   friend class Multiplication;
   friend class MultiplicationNode;
   friend class NaperianLogarithm;
diff --git a/poincare/include/poincare/expression_node.h b/poincare/include/poincare/expression_node.h
index 4ad6b91b3..79c6eaa88 100644
--- a/poincare/include/poincare/expression_node.h
+++ b/poincare/include/poincare/expression_node.h
@@ -103,8 +103,8 @@ public:
     MatrixIdentity,
     MatrixInverse,
     MatrixTranspose,
-    MatrixRef,
-    MatrixRref,
+    MatrixRowEchelonForm,
+    MatrixReducedRowEchelonForm,
     PredictionInterval,
     Matrix,
     EmptyExpression
diff --git a/poincare/include/poincare/matrix_ref.h b/poincare/include/poincare/matrix_echelon_form.h
similarity index 66%
rename from poincare/include/poincare/matrix_ref.h
rename to poincare/include/poincare/matrix_echelon_form.h
index a707776ce..1a2ff0f7c 100644
--- a/poincare/include/poincare/matrix_ref.h
+++ b/poincare/include/poincare/matrix_echelon_form.h
@@ -1,24 +1,17 @@
-#ifndef POINCARE_MATRIX_REF_H
-#define POINCARE_MATRIX_REF_H
+#ifndef POINCARE_MATRIX_ECHELON_FORM_H
+#define POINCARE_MATRIX_ECHELON_FORM_H
 
 #include <poincare/expression.h>
 
 namespace Poincare {
 
-class MatrixRefNode final : public ExpressionNode {
+class MatrixEchelonFormNode : public ExpressionNode {
 public:
 
   // TreeNode
-  size_t size() const override { return sizeof(MatrixRefNode); }
   int numberOfChildren() const override;
-#if POINCARE_TREE_LOG
-  void logNodeName(std::ostream & stream) const override {
-    stream << "MatrixRef";
-  }
-#endif
-
-  // Properties
-  Type type() const override { return Type::MatrixRef; }
+  virtual bool isFormReduced() const = 0;
+  static constexpr int sNumberOfChildren = 1;
 private:
   // Layout
   Layout createLayout(Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const override;
@@ -31,16 +24,16 @@ private:
   Evaluation<float> approximate(SinglePrecision p, Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const override { return templatedApproximate<float>(context, complexFormat, angleUnit); }
   Evaluation<double> approximate(DoublePrecision p, Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const override { return templatedApproximate<double>(context, complexFormat, angleUnit); }
   template<typename T> Evaluation<T> templatedApproximate(Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const;
+
+  // Properties
+  virtual const char * functionHelperName() const = 0;
 };
 
-class MatrixRef final : public Expression {
+class MatrixEchelonForm : public Expression {
 public:
-  MatrixRef(const MatrixRefNode * n) : Expression(n) {}
-  static MatrixRef Builder(Expression child) { return TreeHandle::FixedArityBuilder<MatrixRef, MatrixRefNode>({child}); }
-
-  static constexpr Expression::FunctionHelper s_functionHelper = Expression::FunctionHelper("ref", 1, &UntypedBuilderOneChild<MatrixRef>);
-
+  MatrixEchelonForm(const MatrixEchelonFormNode * n) : Expression(n) {}
   Expression shallowReduce(ExpressionNode::ReductionContext reductionContext);
+  bool isFormReduced() const { return static_cast<MatrixEchelonFormNode *>(node())->isFormReduced(); }
 };
 
 }
diff --git a/poincare/include/poincare/matrix_reduced_row_echelon_form.h b/poincare/include/poincare/matrix_reduced_row_echelon_form.h
new file mode 100644
index 000000000..2058f626e
--- /dev/null
+++ b/poincare/include/poincare/matrix_reduced_row_echelon_form.h
@@ -0,0 +1,37 @@
+#ifndef POINCARE_MATRIX_REDUCED_ROW_ECHELON_FORM_H
+#define POINCARE_MATRIX_REDUCED_ROW_ECHELON_FORM_H
+
+#include <poincare/matrix_echelon_form.h>
+
+namespace Poincare {
+
+class MatrixReducedRowEchelonFormNode final : public MatrixEchelonFormNode {
+public:
+
+  // TreeNode
+  size_t size() const override { return sizeof(MatrixReducedRowEchelonFormNode); }
+
+#if POINCARE_TREE_LOG
+  void logNodeName(std::ostream & stream) const override {
+    stream << "MatrixReducedRowEchelonForm";
+  }
+#endif
+
+  // Properties
+  Type type() const override { return Type::MatrixReducedRowEchelonForm; }
+private:
+  const char * functionHelperName() const override;
+  bool isFormReduced() const override { return true; }
+};
+
+
+class MatrixReducedRowEchelonForm final : public MatrixEchelonForm {
+public:
+  MatrixReducedRowEchelonForm(const MatrixReducedRowEchelonFormNode * n) : MatrixEchelonForm(n) {}
+  static MatrixReducedRowEchelonForm Builder(Expression child) { return TreeHandle::FixedArityBuilder<MatrixReducedRowEchelonForm, MatrixReducedRowEchelonFormNode>({child}); }
+  static constexpr Expression::FunctionHelper s_functionHelper = Expression::FunctionHelper("rref", MatrixEchelonFormNode::sNumberOfChildren, &UntypedBuilderOneChild<MatrixReducedRowEchelonForm>);
+};
+
+}
+
+#endif
diff --git a/poincare/include/poincare/matrix_row_echelon_form.h b/poincare/include/poincare/matrix_row_echelon_form.h
new file mode 100644
index 000000000..baaa80962
--- /dev/null
+++ b/poincare/include/poincare/matrix_row_echelon_form.h
@@ -0,0 +1,37 @@
+#ifndef POINCARE_MATRIX_ROW_ECHELON_FORM_H
+#define POINCARE_MATRIX_ROW_ECHELON_FORM_H
+
+#include <poincare/matrix_echelon_form.h>
+
+namespace Poincare {
+
+class MatrixRowEchelonFormNode final : public MatrixEchelonFormNode {
+public:
+
+  // TreeNode
+  size_t size() const override { return sizeof(MatrixRowEchelonFormNode); }
+
+#if POINCARE_TREE_LOG
+  void logNodeName(std::ostream & stream) const override {
+    stream << "MatrixRowEchelonForm";
+  }
+#endif
+
+  // Properties
+  Type type() const override { return Type::MatrixRowEchelonForm; }
+private:
+  const char * functionHelperName() const override;
+  bool isFormReduced() const override { return false; }
+};
+
+
+class MatrixRowEchelonForm final : public MatrixEchelonForm {
+public:
+  MatrixRowEchelonForm(const MatrixRowEchelonFormNode * n) : MatrixEchelonForm(n) {}
+  static MatrixRowEchelonForm Builder(Expression child) { return TreeHandle::FixedArityBuilder<MatrixRowEchelonForm, MatrixRowEchelonFormNode>({child}); }
+  static constexpr Expression::FunctionHelper s_functionHelper = Expression::FunctionHelper("ref", MatrixEchelonFormNode::sNumberOfChildren, &UntypedBuilderOneChild<MatrixRowEchelonForm>);
+};
+
+}
+
+#endif
diff --git a/poincare/include/poincare/matrix_rref.h b/poincare/include/poincare/matrix_rref.h
deleted file mode 100644
index 66d44b257..000000000
--- a/poincare/include/poincare/matrix_rref.h
+++ /dev/null
@@ -1,48 +0,0 @@
-#ifndef POINCARE_MATRIX_RREF_H
-#define POINCARE_MATRIX_RREF_H
-
-#include <poincare/expression.h>
-
-namespace Poincare {
-
-class MatrixRrefNode final : public ExpressionNode {
-public:
-
-  // TreeNode
-  size_t size() const override { return sizeof(MatrixRrefNode); }
-  int numberOfChildren() const override;
-#if POINCARE_TREE_LOG
-  void logNodeName(std::ostream & stream) const override {
-    stream << "MatrixRref";
-  }
-#endif
-
-  // Properties
-  Type type() const override { return Type::MatrixRref; }
-private:
-  // Layout
-  Layout createLayout(Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const override;
-  int serialize(char * buffer, int bufferSize, Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const override;
-  // Simplification
-  Expression shallowReduce(ReductionContext reductionContext) override;
-  LayoutShape leftLayoutShape() const override { return LayoutShape::MoreLetters; };
-  LayoutShape rightLayoutShape() const override { return LayoutShape::BoundaryPunctuation; }
-  // Evaluation
-  Evaluation<float> approximate(SinglePrecision p, Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const override { return templatedApproximate<float>(context, complexFormat, angleUnit); }
-  Evaluation<double> approximate(DoublePrecision p, Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const override { return templatedApproximate<double>(context, complexFormat, angleUnit); }
-  template<typename T> Evaluation<T> templatedApproximate(Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const;
-};
-
-class MatrixRref final : public Expression {
-public:
-  MatrixRref(const MatrixRrefNode * n) : Expression(n) {}
-  static MatrixRref Builder(Expression child) { return TreeHandle::FixedArityBuilder<MatrixRref, MatrixRrefNode>({child}); }
-
-  static constexpr Expression::FunctionHelper s_functionHelper = Expression::FunctionHelper("rref", 1, &UntypedBuilderOneChild<MatrixRref>);
-
-  Expression shallowReduce(ExpressionNode::ReductionContext reductionContext);
-};
-
-}
-
-#endif
diff --git a/poincare/include/poincare_nodes.h b/poincare/include/poincare_nodes.h
index 469013a9d..41f1d0d92 100644
--- a/poincare/include/poincare_nodes.h
+++ b/poincare/include/poincare_nodes.h
@@ -54,8 +54,8 @@
 #include <poincare/matrix_inverse.h>
 #include <poincare/matrix_trace.h>
 #include <poincare/matrix_transpose.h>
-#include <poincare/matrix_ref.h>
-#include <poincare/matrix_rref.h>
+#include <poincare/matrix_row_echelon_form.h>
+#include <poincare/matrix_reduced_row_echelon_form.h>
 #include <poincare/multiplication.h>
 #include <poincare/naperian_logarithm.h>
 #include <poincare/norm_cdf.h>
diff --git a/poincare/src/expression.cpp b/poincare/src/expression.cpp
index cfde3b045..62592f10c 100644
--- a/poincare/src/expression.cpp
+++ b/poincare/src/expression.cpp
@@ -186,8 +186,8 @@ bool Expression::IsMatrix(const Expression e, Context * context) {
     || e.type() == ExpressionNode::Type::MatrixInverse
     || e.type() == ExpressionNode::Type::MatrixIdentity
     || e.type() == ExpressionNode::Type::MatrixTranspose
-    || e.type() == ExpressionNode::Type::MatrixRef
-    || e.type() == ExpressionNode::Type::MatrixRref;
+    || e.type() == ExpressionNode::Type::MatrixRowEchelonForm
+    || e.type() == ExpressionNode::Type::MatrixReducedRowEchelonForm;
 }
 
 bool Expression::IsInfinity(const Expression e, Context * context) {
diff --git a/poincare/src/matrix_echelon_form.cpp b/poincare/src/matrix_echelon_form.cpp
new file mode 100644
index 000000000..cffcad695
--- /dev/null
+++ b/poincare/src/matrix_echelon_form.cpp
@@ -0,0 +1,59 @@
+#include <poincare/matrix_echelon_form.h>
+#include <poincare/matrix_complex.h>
+#include <poincare/layout_helper.h>
+#include <poincare/matrix.h>
+#include <poincare/serialization_helper.h>
+
+namespace Poincare {
+
+int MatrixEchelonFormNode::numberOfChildren() const { return sNumberOfChildren; }
+
+Expression MatrixEchelonFormNode::shallowReduce(ReductionContext reductionContext) {
+  return MatrixEchelonForm(this).shallowReduce(reductionContext);
+}
+
+Layout MatrixEchelonFormNode::createLayout(Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const {
+  return LayoutHelper::Prefix(MatrixEchelonForm(this), floatDisplayMode, numberOfSignificantDigits, functionHelperName());
+}
+
+int MatrixEchelonFormNode::serialize(char * buffer, int bufferSize, Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const {
+  return SerializationHelper::Prefix(this, buffer, bufferSize, floatDisplayMode, numberOfSignificantDigits, functionHelperName());
+}
+
+template<typename T>
+Evaluation<T> MatrixEchelonFormNode::templatedApproximate(Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const {
+  Evaluation<T> input = childAtIndex(0)->approximate(T(), context, complexFormat, angleUnit);
+  Evaluation<T> ref;
+  if (input.type() == EvaluationNode<T>::Type::MatrixComplex) {
+    ref = static_cast<MatrixComplex<T>&>(input).ref(isFormReduced());
+  } else {
+    ref = Complex<T>::Undefined();
+  }
+  assert(!ref.isUninitialized());
+  return ref;
+}
+
+
+Expression MatrixEchelonForm::shallowReduce(ExpressionNode::ReductionContext reductionContext) {
+  {
+    Expression e = Expression::defaultShallowReduce();
+    e = e.defaultHandleUnitsInChildren();
+    if (e.isUndefined()) {
+      return e;
+    }
+  }
+  Expression c = childAtIndex(0);
+  if (c.type() == ExpressionNode::Type::Matrix) {
+    bool couldComputeRef = false;
+    Expression result = static_cast<Matrix&>(c).createRef(reductionContext, &couldComputeRef, isFormReduced());
+    if (couldComputeRef) {
+      replaceWithInPlace(result);
+      return result;
+    }
+    // The matrix could not be transformed properly
+    return *this;
+  }
+  return replaceWithUndefinedInPlace();
+}
+
+}
diff --git a/poincare/src/matrix_reduced_row_echelon_form.cpp b/poincare/src/matrix_reduced_row_echelon_form.cpp
new file mode 100644
index 000000000..a06bb98d8
--- /dev/null
+++ b/poincare/src/matrix_reduced_row_echelon_form.cpp
@@ -0,0 +1,9 @@
+#include <poincare/matrix_reduced_row_echelon_form.h>
+
+namespace Poincare {
+
+constexpr Expression::FunctionHelper MatrixReducedRowEchelonForm::s_functionHelper;
+
+const char * MatrixReducedRowEchelonFormNode::functionHelperName() const { return MatrixReducedRowEchelonForm::s_functionHelper.name(); }
+
+}
diff --git a/poincare/src/matrix_ref.cpp b/poincare/src/matrix_ref.cpp
deleted file mode 100644
index 0feb755ca..000000000
--- a/poincare/src/matrix_ref.cpp
+++ /dev/null
@@ -1,61 +0,0 @@
-#include <poincare/matrix_ref.h>
-#include <poincare/matrix_complex.h>
-#include <poincare/layout_helper.h>
-#include <poincare/matrix.h>
-#include <poincare/serialization_helper.h>
-
-namespace Poincare {
-
-constexpr Expression::FunctionHelper MatrixRef::s_functionHelper;
-
-int MatrixRefNode::numberOfChildren() const { return MatrixRef::s_functionHelper.numberOfChildren(); }
-
-Expression MatrixRefNode::shallowReduce(ReductionContext reductionContext) {
-  return MatrixRef(this).shallowReduce(reductionContext);
-}
-
-Layout MatrixRefNode::createLayout(Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const {
-  return LayoutHelper::Prefix(MatrixRef(this), floatDisplayMode, numberOfSignificantDigits, MatrixRef::s_functionHelper.name());
-}
-
-int MatrixRefNode::serialize(char * buffer, int bufferSize, Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const {
-  return SerializationHelper::Prefix(this, buffer, bufferSize, floatDisplayMode, numberOfSignificantDigits, MatrixRef::s_functionHelper.name());
-}
-
-template<typename T>
-Evaluation<T> MatrixRefNode::templatedApproximate(Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const {
-  Evaluation<T> input = childAtIndex(0)->approximate(T(), context, complexFormat, angleUnit);
-  Evaluation<T> ref;
-  if (input.type() == EvaluationNode<T>::Type::MatrixComplex) {
-    ref = static_cast<MatrixComplex<T>&>(input).ref(false);
-  } else {
-    ref = Complex<T>::Undefined();
-  }
-  assert(!ref.isUninitialized());
-  return ref;
-}
-
-
-Expression MatrixRef::shallowReduce(ExpressionNode::ReductionContext reductionContext) {
-  {
-    Expression e = Expression::defaultShallowReduce();
-    e = e.defaultHandleUnitsInChildren();
-    if (e.isUndefined()) {
-      return e;
-    }
-  }
-  Expression c = childAtIndex(0);
-  if (c.type() == ExpressionNode::Type::Matrix) {
-    bool couldComputeRef = false;
-    Expression result = static_cast<Matrix&>(c).createRef(reductionContext, &couldComputeRef, false);
-    if (couldComputeRef) {
-      replaceWithInPlace(result);
-      return result;
-    }
-    // The matrix could not be transformed properly
-    return *this;
-  }
-  return replaceWithUndefinedInPlace();
-}
-
-}
diff --git a/poincare/src/matrix_row_echelon_form.cpp b/poincare/src/matrix_row_echelon_form.cpp
new file mode 100644
index 000000000..fe8d8ec9d
--- /dev/null
+++ b/poincare/src/matrix_row_echelon_form.cpp
@@ -0,0 +1,9 @@
+#include <poincare/matrix_row_echelon_form.h>
+
+namespace Poincare {
+
+constexpr Expression::FunctionHelper MatrixRowEchelonForm::s_functionHelper;
+
+const char * MatrixRowEchelonFormNode::functionHelperName() const { return MatrixRowEchelonForm::s_functionHelper.name(); }
+
+}
diff --git a/poincare/src/matrix_rref.cpp b/poincare/src/matrix_rref.cpp
deleted file mode 100644
index d7562aa9e..000000000
--- a/poincare/src/matrix_rref.cpp
+++ /dev/null
@@ -1,61 +0,0 @@
-#include <poincare/matrix_rref.h>
-#include <poincare/matrix_complex.h>
-#include <poincare/layout_helper.h>
-#include <poincare/matrix.h>
-#include <poincare/serialization_helper.h>
-
-namespace Poincare {
-
-constexpr Expression::FunctionHelper MatrixRref::s_functionHelper;
-
-int MatrixRrefNode::numberOfChildren() const { return MatrixRref::s_functionHelper.numberOfChildren(); }
-
-Expression MatrixRrefNode::shallowReduce(ReductionContext reductionContext) {
-  return MatrixRref(this).shallowReduce(reductionContext);
-}
-
-Layout MatrixRrefNode::createLayout(Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const {
-  return LayoutHelper::Prefix(MatrixRref(this), floatDisplayMode, numberOfSignificantDigits, MatrixRref::s_functionHelper.name());
-}
-
-int MatrixRrefNode::serialize(char * buffer, int bufferSize, Preferences::PrintFloatMode floatDisplayMode, int numberOfSignificantDigits) const {
-  return SerializationHelper::Prefix(this, buffer, bufferSize, floatDisplayMode, numberOfSignificantDigits, MatrixRref::s_functionHelper.name());
-}
-
-template<typename T>
-Evaluation<T> MatrixRrefNode::templatedApproximate(Context * context, Preferences::ComplexFormat complexFormat, Preferences::AngleUnit angleUnit) const {
-  Evaluation<T> input = childAtIndex(0)->approximate(T(), context, complexFormat, angleUnit);
-  Evaluation<T> rref;
-  if (input.type() == EvaluationNode<T>::Type::MatrixComplex) {
-    rref = static_cast<MatrixComplex<T>&>(input).ref(true);
-  } else {
-    rref = Complex<T>::Undefined();
-  }
-  assert(!rref.isUninitialized());
-  return rref;
-}
-
-
-Expression MatrixRref::shallowReduce(ExpressionNode::ReductionContext reductionContext) {
-  {
-    Expression e = Expression::defaultShallowReduce();
-    e = e.defaultHandleUnitsInChildren();
-    if (e.isUndefined()) {
-      return e;
-    }
-  }
-  Expression c = childAtIndex(0);
-  if (c.type() == ExpressionNode::Type::Matrix) {
-    bool couldComputeRref = false;
-    Expression result = static_cast<Matrix&>(c).createRef(reductionContext, &couldComputeRref, true);
-    if (couldComputeRref) {
-      replaceWithInPlace(result);
-      return result;
-    }
-    // The matrix could not be transformed properly
-    return *this;
-  }
-  return replaceWithUndefinedInPlace();
-}
-
-}
diff --git a/poincare/src/parsing/parser.h b/poincare/src/parsing/parser.h
index efe071406..5064d12f7 100644
--- a/poincare/src/parsing/parser.h
+++ b/poincare/src/parsing/parser.h
@@ -138,11 +138,11 @@ private:
     &Randint::s_functionHelper,
     &Random::s_functionHelper,
     &RealPart::s_functionHelper,
-    &MatrixRef::s_functionHelper,
+    &MatrixRowEchelonForm::s_functionHelper,
     &DivisionRemainder::s_functionHelper,
     &NthRoot::s_functionHelper,
     &Round::s_functionHelper,
-    &MatrixRref::s_functionHelper,
+    &MatrixReducedRowEchelonForm::s_functionHelper,
     &SignFunction::s_functionHelper,
     &Sine::s_functionHelper,
     &HyperbolicSine::s_functionHelper,
diff --git a/poincare/src/tree_handle.cpp b/poincare/src/tree_handle.cpp
index f75d3442a..54d663401 100644
--- a/poincare/src/tree_handle.cpp
+++ b/poincare/src/tree_handle.cpp
@@ -336,8 +336,8 @@ template MatrixIdentity TreeHandle::FixedArityBuilder<MatrixIdentity, MatrixIden
 template MatrixInverse TreeHandle::FixedArityBuilder<MatrixInverse, MatrixInverseNode>(const Tuple &);
 template MatrixTrace TreeHandle::FixedArityBuilder<MatrixTrace, MatrixTraceNode>(const Tuple &);
 template MatrixTranspose TreeHandle::FixedArityBuilder<MatrixTranspose, MatrixTransposeNode>(const Tuple &);
-template MatrixRef TreeHandle::FixedArityBuilder<MatrixRef, MatrixRefNode>(const Tuple &);
-template MatrixRref TreeHandle::FixedArityBuilder<MatrixRref, MatrixRrefNode>(const Tuple &);
+template MatrixRowEchelonForm TreeHandle::FixedArityBuilder<MatrixRowEchelonForm, MatrixRowEchelonFormNode>(const Tuple &);
+template MatrixReducedRowEchelonForm TreeHandle::FixedArityBuilder<MatrixReducedRowEchelonForm, MatrixReducedRowEchelonFormNode>(const Tuple &);
 template Multiplication TreeHandle::NAryBuilder<Multiplication, MultiplicationNode>(const Tuple &);
 template NaperianLogarithm TreeHandle::FixedArityBuilder<NaperianLogarithm, NaperianLogarithmNode>(const Tuple &);
 template NormCDF TreeHandle::FixedArityBuilder<NormCDF, NormCDFNode>(const Tuple &);
diff --git a/poincare/test/parsing.cpp b/poincare/test/parsing.cpp
index db521129c..f8bed5cc4 100644
--- a/poincare/test/parsing.cpp
+++ b/poincare/test/parsing.cpp
@@ -410,8 +410,8 @@ QUIZ_CASE(poincare_parsing_identifiers) {
   assert_parsed_expression_is("tanh(1)", HyperbolicTangent::Builder(BasedInteger::Builder(1)));
   assert_parsed_expression_is("trace(1)", MatrixTrace::Builder(BasedInteger::Builder(1)));
   assert_parsed_expression_is("transpose(1)", MatrixTranspose::Builder(BasedInteger::Builder(1)));
-  assert_parsed_expression_is("ref(1)", MatrixRef::Builder(BasedInteger::Builder(1)));
-  assert_parsed_expression_is("rref(1)", MatrixRref::Builder(BasedInteger::Builder(1)));
+  assert_parsed_expression_is("ref(1)", MatrixRowEchelonForm::Builder(BasedInteger::Builder(1)));
+  assert_parsed_expression_is("rref(1)", MatrixReducedRowEchelonForm::Builder(BasedInteger::Builder(1)));
   assert_parsed_expression_is("√(1)", SquareRoot::Builder(BasedInteger::Builder(1)));
   assert_text_not_parsable("cos(1,2)");
   assert_text_not_parsable("log(1,2,3)");