diff --git a/src/Matrix.cpp b/src/Matrix.cpp
index 0a7908c..8b3a7c9 100644
--- a/src/Matrix.cpp
+++ b/src/Matrix.cpp
@@ -109,17 +109,20 @@ void Matrix::Transpose() {
 }
 
 void Matrix::Identity() {
+	assert(m_Lignes == m_Colonnes);
 	for (std::size_t i = 0; i < m_Lignes; i++) {
 		for (std::size_t j = i; j < m_Colonnes; j++) {
-			if (i != j) {
-				at(i, j) = 0;
-			} else {
-				at(i, j) = 1;
-			}
+			at(i, j) = i == j;
 		}
 	}
 }
 
+Matrix Matrix::Identity(std::size_t taille) {
+	Matrix id{taille, taille};
+	id.Identity();
+	return id;
+}
+
 bool Matrix::IsInversed() const {
 	for (std::size_t i = 0; i < m_Lignes; ++i) {
 		std::size_t j;
diff --git a/src/Matrix.h b/src/Matrix.h
index 3bb3f39..5122715 100644
--- a/src/Matrix.h
+++ b/src/Matrix.h
@@ -40,6 +40,8 @@ class Matrix {
 
 	void Identity();
 
+	static Matrix Identity(std::size_t taille);
+
 	bool IsInversed() const;
 
 	Matrix SubMatrix(std::size_t origine_ligne, std::size_t origine_colonne, std::size_t ligne, std::size_t colonne) const;