diff --git a/matrix.c b/matrix.c
index 3464a5b..1ffe1d5 100644
--- a/matrix.c
+++ b/matrix.c
@@ -4,69 +4,103 @@
 
 // TODO Matrix-Funktionen implementieren
 
+// Matrix erzeugen
 Matrix createMatrix(unsigned int rows, unsigned int cols)
 {
-    // Allocate memory for the matrix structure
-    Matrix matrix;  
+    Matrix matrix;
     matrix.rows = rows;
     matrix.cols = cols;
+
+    if (rows == 0 || cols == 0) {
+        matrix.data = NULL;
+        return matrix;
+    }
+
     matrix.data = (MatrixType *)malloc(rows * cols * sizeof(MatrixType));
-    if (matrix.data == NULL) 
+    if (matrix.data == NULL)
     {
-        // Handle memory allocation failure
         matrix.rows = 0;
         matrix.cols = 0;
     }
+    return matrix;
 }
 
+// Matrix Speicher freigeben
 void clearMatrix(Matrix *matrix)
 {
-    // Free the allocated memory for the matrix data
-    if (matrix->data != NULL)   
+    if (matrix->data != NULL)
     {
         free(matrix->data);
         matrix->data = NULL;
-        matrix->rows = 0;
-        matrix->cols = 0;
     }
+    matrix->rows = 0;
+    matrix->cols = 0;
 }
 
+// Wert setzen
 void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
-   // Set the value at the specified row and column index
-    if (rowIdx < matrix.rows && colIdx < matrix.cols) 
+    if (rowIdx < matrix.rows && colIdx < matrix.cols)
     {
-         matrix.data[rowIdx * matrix.cols + colIdx] = value;
+        matrix.data[rowIdx * matrix.cols + colIdx] = value;
     }
 }
 
+// Wert auslesen
 MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
-    // Get the value at the specified row and column index
-    if (rowIdx < matrix.rows && colIdx < matrix.cols) 
+    if (rowIdx < matrix.rows && colIdx < matrix.cols)
     {
         return matrix.data[rowIdx * matrix.cols + colIdx];
     }
+    return 0; // Fallback
 }
 
-Matrix add(const Matrix matrix1, const Matrix matrix2)
+// Matrizen addieren
+Matrix add(const Matrix m1, const Matrix m2)
 {
-    // Add two matrices and return the result
-    if (matrix1.rows != matrix2.rows || matrix1.cols != matrix2.cols) 
+    if (m1.rows != m2.rows || m1.cols != m2.cols)
     {
-        // Handle dimension mismatch
-        Matrix emptyMatrix = createMatrix(0, 0);
-        return emptyMatrix;
+        return createMatrix(0, 0); // Dimension passt nicht
     }
+
+    Matrix result = createMatrix(m1.rows, m1.cols);
+    if (result.data == NULL) return result;
+
+    for (unsigned int r = 0; r < m1.rows; r++)
+    {
+        for (unsigned int c = 0; c < m1.cols; c++)
+        {
+            result.data[r * m1.cols + c] =
+                getMatrixAt(m1, r, c) + getMatrixAt(m2, r, c);
+        }
+    }
+    return result;
 }
 
-Matrix multiply(const Matrix matrix1, const Matrix matrix2)
+// Matrizen multiplizieren
+Matrix multiply(const Matrix m1, const Matrix m2)
 {
-    // Multiply two matrices and return the result
-    if (matrix1.cols != matrix2.rows) 
+    if (m1.cols != m2.rows)
     {
-        // Handle dimension mismatch
-        Matrix emptyMatrix = createMatrix(0, 0);
-        return emptyMatrix;
+        return createMatrix(0, 0); // Falls Matrix-Dimensionen nicht passen
     }
+
+    Matrix result = createMatrix(m1.rows, m2.cols);
+    if (result.data == NULL) return result;
+
+    for (unsigned int r = 0; r < m1.rows; r++)
+    {
+        for (unsigned int c = 0; c < m2.cols; c++)
+        {
+            MatrixType sum = 0;
+            for (unsigned int k = 0; k < m1.cols; k++)
+            {
+                sum += getMatrixAt(m1, r, k) * getMatrixAt(m2, k, c);
+            }
+            result.data[r * m2.cols + c] = sum;
+        }
+    }
+
+    return result;
 }
\ No newline at end of file