diff --git a/Notizen.c b/Notizen.c
new file mode 100644
index 0000000..42f1576
--- /dev/null
+++ b/Notizen.c
@@ -0,0 +1,13 @@
+//neuralNetwork.c - BalckBox - Erkennung der Zahlen
+
+
+//ImageInput.c - // TODO Implementieren Sie geeignete Hilfsfunktionen für das Lesen der Bildserie aus einer Datei
+                 // TODO Vervollständigen Sie die Funktion readImages unter Benutzung Ihrer Hilfsfunktionen
+                 // TODO Vervollständigen Sie die Funktion clearSeries, welche eine Bildserie vollständig aus dem Speicher freigibt
+
+// Patric Viebcodet
+
+// matrix.c -     // TODO Matrix-Funktionen implementieren - Sven die letzen 3, Felix die ersten 3
+//
+
+//
\ No newline at end of file
diff --git a/matrix.c b/matrix.c
index ad00628..7e20f8b 100644
--- a/matrix.c
+++ b/matrix.c
@@ -6,30 +6,146 @@
 
 Matrix createMatrix(unsigned int rows, unsigned int cols)
 {
-    
+    Matrix m;
+
+    if (rows == 0 || cols == 0)
+    {
+        m.rows = 0;
+        m.cols = 0;
+        m.buffer = NULL;
+        return m;
+    }
+
+    m.rows = rows;
+    m.cols = cols;
+    m.buffer = (MatrixType *)calloc(rows * cols, sizeof(MatrixType));
+
+    return m;
 }
 
 void clearMatrix(Matrix *matrix)
 {
-    
+    if (matrix != NULL)
+    {
+        if (matrix->buffer != NULL)
+        {
+            free(matrix->buffer);
+            matrix->buffer = NULL;
+        }
+
+        matrix->rows = 0;
+        matrix->cols = 0;
+    }
 }
 
 void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
-    
+    if (matrix.buffer != NULL)
+    {
+        if (rowIdx < matrix.rows && colIdx < matrix.cols)
+        {
+            matrix.buffer[rowIdx * matrix.cols + colIdx] = value;
+        }
+    }
 }
 
 MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
-    
+    if (matrix.buffer == NULL || rowIdx >= matrix.rows || colIdx >= matrix.cols)
+    {
+        return UNDEFINED_MATRIX_VALUE;
+    }
+
+    return matrix.buffer[rowIdx * matrix.cols + colIdx];
 }
 
 Matrix add(const Matrix matrix1, const Matrix matrix2)
 {
-    
+    Matrix result;
+
+    if (matrix1.buffer == NULL || matrix2.buffer == NULL || matrix1.rows != matrix2.rows)
+    {
+        result.rows = 0;
+        result.cols = 0;
+        result.buffer = NULL;
+        return result;
+    }
+
+    if (matrix1.cols == matrix2.cols)
+    {
+        result = createMatrix(matrix1.rows, matrix1.cols);
+        for (int i = 0; i < matrix1.rows; i++)
+        {
+            for (int j = 0; j < matrix1.cols; j++)
+            {
+                MatrixType value = getMatrixAt(matrix1, i, j) + getMatrixAt(matrix2, i, j);
+                setMatrixAt(value, result, i, j);
+            }
+        }
+        return result;
+    }
+
+    if (matrix1.cols == 1 && matrix2.cols > 1)
+    {
+        result = createMatrix(matrix1.rows, matrix2.cols);
+        for (int i = 0; i < matrix1.rows; i++)
+        {
+            for (int j = 0; j < matrix2.cols; j++)
+            {
+                MatrixType value = getMatrixAt(matrix1, i, 0) + getMatrixAt(matrix2, i, j);
+                setMatrixAt(value, result, i, j);
+            }
+        }
+        return result;
+    }
+    else if (matrix2.cols == 1 && matrix1.cols > 1)
+    {
+        result = createMatrix(matrix1.rows, matrix1.cols);
+        for (int i = 0; i < matrix1.rows; i++)
+        {
+            for (int j = 0; j < matrix1.cols; j++)
+            {
+                MatrixType value = getMatrixAt(matrix1, i, j) + getMatrixAt(matrix2, i, 0);
+                setMatrixAt(value, result, i, j);
+            }
+        }
+        return result;
+    }
+
+    //Fall: Unterschiedliche Spaltenanzahl, beide ungleich 1
+    result.rows = 0;
+    result.cols = 0;
+    result.buffer = NULL;
+    return result;
 }
 
 Matrix multiply(const Matrix matrix1, const Matrix matrix2)
 {
-    
-}
\ No newline at end of file
+    Matrix result;
+
+    if (matrix1.buffer == NULL || matrix2.buffer == NULL || matrix1.cols != matrix2.rows)
+    {
+        result.rows = 0;
+        result.cols = 0;
+        result.buffer = NULL;
+        return result;
+    }
+
+    result = createMatrix(matrix1.rows, matrix2.cols);
+
+    for (int i = 0; i < matrix1.rows; i++)
+    {
+        for (int j = 0; j < matrix2.cols; j++)
+        {
+            MatrixType sum = 0;
+
+            for (int k = 0; k < matrix1.cols; k++)
+            {
+                sum += getMatrixAt(matrix1, i, k) * getMatrixAt(matrix2, k, j);
+            }
+            setMatrixAt(sum, result, i, j);
+        }
+    }
+
+    return result;
+}
diff --git a/matrix.h b/matrix.h
index cc640d1..96b0df6 100644
--- a/matrix.h
+++ b/matrix.h
@@ -1,13 +1,19 @@
+
+
 #ifndef MATRIX_H
 #define MATRIX_H
 
 #define UNDEFINED_MATRIX_VALUE 0
-
 typedef float MatrixType;
 
-// TODO Matrixtyp definieren
-
+// Definition des Matrix-Typs
+typedef struct {
+    unsigned int rows;
+    unsigned int cols;
+    MatrixType *buffer; // dynamisch allokiertes Array
+} Matrix;
 
+// Funktionsdeklarationen
 Matrix createMatrix(unsigned int rows, unsigned int cols);
 void clearMatrix(Matrix *matrix);
 void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx);
@@ -15,5 +21,4 @@ MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int co
 Matrix add(const Matrix matrix1, const Matrix matrix2);
 Matrix multiply(const Matrix matrix1, const Matrix matrix2);
 
-
-#endif
+#endif
\ No newline at end of file
diff --git a/matrix_neu.c b/matrix_neu.c
new file mode 100644
index 0000000..7e20f8b
--- /dev/null
+++ b/matrix_neu.c
@@ -0,0 +1,151 @@
+#include <stdlib.h>
+#include <string.h>
+#include "matrix.h"
+
+// TODO Matrix-Funktionen implementieren
+
+Matrix createMatrix(unsigned int rows, unsigned int cols)
+{
+    Matrix m;
+
+    if (rows == 0 || cols == 0)
+    {
+        m.rows = 0;
+        m.cols = 0;
+        m.buffer = NULL;
+        return m;
+    }
+
+    m.rows = rows;
+    m.cols = cols;
+    m.buffer = (MatrixType *)calloc(rows * cols, sizeof(MatrixType));
+
+    return m;
+}
+
+void clearMatrix(Matrix *matrix)
+{
+    if (matrix != NULL)
+    {
+        if (matrix->buffer != NULL)
+        {
+            free(matrix->buffer);
+            matrix->buffer = NULL;
+        }
+
+        matrix->rows = 0;
+        matrix->cols = 0;
+    }
+}
+
+void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
+{
+    if (matrix.buffer != NULL)
+    {
+        if (rowIdx < matrix.rows && colIdx < matrix.cols)
+        {
+            matrix.buffer[rowIdx * matrix.cols + colIdx] = value;
+        }
+    }
+}
+
+MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
+{
+    if (matrix.buffer == NULL || rowIdx >= matrix.rows || colIdx >= matrix.cols)
+    {
+        return UNDEFINED_MATRIX_VALUE;
+    }
+
+    return matrix.buffer[rowIdx * matrix.cols + colIdx];
+}
+
+Matrix add(const Matrix matrix1, const Matrix matrix2)
+{
+    Matrix result;
+
+    if (matrix1.buffer == NULL || matrix2.buffer == NULL || matrix1.rows != matrix2.rows)
+    {
+        result.rows = 0;
+        result.cols = 0;
+        result.buffer = NULL;
+        return result;
+    }
+
+    if (matrix1.cols == matrix2.cols)
+    {
+        result = createMatrix(matrix1.rows, matrix1.cols);
+        for (int i = 0; i < matrix1.rows; i++)
+        {
+            for (int j = 0; j < matrix1.cols; j++)
+            {
+                MatrixType value = getMatrixAt(matrix1, i, j) + getMatrixAt(matrix2, i, j);
+                setMatrixAt(value, result, i, j);
+            }
+        }
+        return result;
+    }
+
+    if (matrix1.cols == 1 && matrix2.cols > 1)
+    {
+        result = createMatrix(matrix1.rows, matrix2.cols);
+        for (int i = 0; i < matrix1.rows; i++)
+        {
+            for (int j = 0; j < matrix2.cols; j++)
+            {
+                MatrixType value = getMatrixAt(matrix1, i, 0) + getMatrixAt(matrix2, i, j);
+                setMatrixAt(value, result, i, j);
+            }
+        }
+        return result;
+    }
+    else if (matrix2.cols == 1 && matrix1.cols > 1)
+    {
+        result = createMatrix(matrix1.rows, matrix1.cols);
+        for (int i = 0; i < matrix1.rows; i++)
+        {
+            for (int j = 0; j < matrix1.cols; j++)
+            {
+                MatrixType value = getMatrixAt(matrix1, i, j) + getMatrixAt(matrix2, i, 0);
+                setMatrixAt(value, result, i, j);
+            }
+        }
+        return result;
+    }
+
+    //Fall: Unterschiedliche Spaltenanzahl, beide ungleich 1
+    result.rows = 0;
+    result.cols = 0;
+    result.buffer = NULL;
+    return result;
+}
+
+Matrix multiply(const Matrix matrix1, const Matrix matrix2)
+{
+    Matrix result;
+
+    if (matrix1.buffer == NULL || matrix2.buffer == NULL || matrix1.cols != matrix2.rows)
+    {
+        result.rows = 0;
+        result.cols = 0;
+        result.buffer = NULL;
+        return result;
+    }
+
+    result = createMatrix(matrix1.rows, matrix2.cols);
+
+    for (int i = 0; i < matrix1.rows; i++)
+    {
+        for (int j = 0; j < matrix2.cols; j++)
+        {
+            MatrixType sum = 0;
+
+            for (int k = 0; k < matrix1.cols; k++)
+            {
+                sum += getMatrixAt(matrix1, i, k) * getMatrixAt(matrix2, k, j);
+            }
+            setMatrixAt(sum, result, i, j);
+        }
+    }
+
+    return result;
+}
diff --git a/test.c b/test.c
new file mode 100644
index 0000000..f0eefd0
--- /dev/null
+++ b/test.c
@@ -0,0 +1,107 @@
+#include <stdlib.h>
+#include <stdio.h>
+#include "matrix.h"
+    Matrix createMatrix(unsigned int rows, unsigned int cols) {
+        Matrix m;
+        if (rows == 0 || cols == 0) {
+            m.rows = 0;
+            m.cols = 0;
+            m.buffer = NULL;
+            return m;
+        }
+
+        m.rows = rows;
+        m.cols = cols;
+        m.buffer = (MatrixType *)malloc(rows * cols * sizeof(MatrixType));
+        if (m.buffer == NULL) {
+            fprintf(stderr, "Fehler: Speicher konnte nicht allokiert werden.\n");
+            m.rows = m.cols = 0;
+        } else {
+            for (unsigned int i = 0; i < rows * cols; i++) {
+                m.buffer[i] = UNDEFINED_MATRIX_VALUE;
+            }
+        }
+        return m;
+    }
+
+    void clearMatrix(Matrix *matrix) {
+        if (matrix->buffer != NULL) {
+            free(matrix->buffer);
+            matrix->buffer = NULL;
+        }
+        matrix->rows = 0;
+        matrix->cols = 0;
+    }
+
+    void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx) {
+        if (rowIdx < matrix.rows && colIdx < matrix.cols) {
+            matrix.buffer[rowIdx * matrix.cols + colIdx] = value;
+        }
+    }
+
+    MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int colIdx) {
+        if (rowIdx < matrix.rows && colIdx < matrix.cols) {
+            return matrix.buffer[rowIdx * matrix.cols + colIdx];
+        }
+        return UNDEFINED_MATRIX_VALUE;
+    }
+
+    Matrix add(const Matrix matrix1, const Matrix matrix2) {
+        Matrix result = {0, 0, NULL};
+
+        // Prüfe Dimensionen und Broadcasting
+        if ((matrix1.rows == matrix2.rows && matrix1.cols == matrix2.cols) ||
+            (matrix1.rows == matrix2.rows && matrix2.cols == 1) ||
+            (matrix1.cols == matrix2.cols && matrix2.rows == 1) ||
+            (matrix2.rows == matrix1.rows && matrix1.cols == 1) ||
+            (matrix2.cols == matrix1.cols && matrix1.rows == 1)) {
+
+            result = createMatrix(matrix1.rows, matrix1.cols);
+
+            for (unsigned int i = 0; i < matrix1.rows; i++) {
+                for (unsigned int j = 0; j < matrix1.cols; j++) {
+                    MatrixType val1 = getMatrixAt(matrix1, i, j);
+                    MatrixType val2;
+
+                    // Broadcasting
+                    if (matrix2.rows == matrix1.rows && matrix2.cols == matrix1.cols) {
+                        val2 = getMatrixAt(matrix2, i, j);
+                    } else if (matrix2.rows == matrix1.rows && matrix2.cols == 1) {
+                        val2 = getMatrixAt(matrix2, i, 0);
+                    } else if (matrix2.rows == 1 && matrix2.cols == matrix1.cols) {
+                        val2 = getMatrixAt(matrix2, 0, j);
+                    } else if (matrix1.rows == matrix2.rows && matrix1.cols == 1) {
+                        val2 = getMatrixAt(matrix2, i, 0);
+                    } else if (matrix1.rows == 1 && matrix1.cols == matrix2.cols) {
+                        val2 = getMatrixAt(matrix2, 0, j);
+                    } else {
+                        val2 = UNDEFINED_MATRIX_VALUE;
+                    }
+
+                    setMatrixAt(val1 + val2, result, i, j);
+                }
+            }
+            }
+        return result;
+    }
+
+    Matrix multiply(const Matrix matrix1, const Matrix matrix2) {
+        Matrix result = {0, 0, NULL};
+
+        if (matrix1.cols != matrix2.rows) {
+            return result; // inkompatible Dimensionen
+        }
+
+        result = createMatrix(matrix1.rows, matrix2.cols);
+
+        for (unsigned int i = 0; i < matrix1.rows; i++) {
+            for (unsigned int j = 0; j < matrix2.cols; j++) {
+                MatrixType sum = 0;
+                for (unsigned int k = 0; k < matrix1.cols; k++) {
+                    sum += getMatrixAt(matrix1, i, k) * getMatrixAt(matrix2, k, j);
+                }
+                setMatrixAt(sum, result, i, j);
+            }
+        }
+        return result;
+    }
\ No newline at end of file
diff --git a/test.h b/test.h
new file mode 100644
index 0000000..96b0df6
--- /dev/null
+++ b/test.h
@@ -0,0 +1,24 @@
+
+
+#ifndef MATRIX_H
+#define MATRIX_H
+
+#define UNDEFINED_MATRIX_VALUE 0
+typedef float MatrixType;
+
+// Definition des Matrix-Typs
+typedef struct {
+    unsigned int rows;
+    unsigned int cols;
+    MatrixType *buffer; // dynamisch allokiertes Array
+} Matrix;
+
+// Funktionsdeklarationen
+Matrix createMatrix(unsigned int rows, unsigned int cols);
+void clearMatrix(Matrix *matrix);
+void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx);
+MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int colIdx);
+Matrix add(const Matrix matrix1, const Matrix matrix2);
+Matrix multiply(const Matrix matrix1, const Matrix matrix2);
+
+#endif
\ No newline at end of file