diff --git a/matrix.c b/matrix.c
index f40bf72..36121d8 100644
--- a/matrix.c
+++ b/matrix.c
@@ -2,45 +2,121 @@
 #include <string.h>
 #include "matrix.h"
 
-typedef struct{
-    unsigned int rows;
-    unsigned int cols;
-}Matrix;
-
 // TODO Matrix-Funktionen implementieren
 
 Matrix createMatrix(unsigned int rows, unsigned int cols)
 {
-    Matrix matrix(rows, cols);
-    return matrix;
+    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 = calloc(rows * cols, sizeof(MatrixType)); // matrix flach angelegt a11 a12 a13 a21 a22...
+    if(m.buffer == NULL){ // speicherreservierung fehlgeschlagen
+        m.rows = 0;
+        m.cols = 0;
+    }
+    return m;
 }
 
 void clearMatrix(Matrix *matrix)
 {
-    int matrix[matrix.rows][matrix.cols];
-    for(int i = 0; i < matrix[rows].length; i++){
-        for(int j = 0; j < matrix[cols]; j++){
-            matrix[i][j] = 0;
-        }
-    }
+    matrix->rows = 0;
+    matrix->cols = 0;
+    
+    free(matrix->buffer);
+    
+
+    matrix->buffer = NULL;
 }
 
 void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
-    // einen wert in der matrix setzen
+    // genau einen wert in der matrix setzen
+    int idx = rowIdx * matrix.cols + colIdx; // flache matrix betrachten
+    matrix.buffer[idx] = value;
 }
 
 MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
     // einen wert in der matrix returnen
+    if(rowIdx >= matrix.rows || colIdx >= matrix.cols || matrix.buffer == NULL){
+        return(MatrixType)0;
+    }
+    int idx = rowIdx * matrix.cols + colIdx; 
+    return matrix.buffer[idx];
 }
 
 Matrix add(const Matrix matrix1, const Matrix matrix2)
 {
-    // addieren entweder mit matrix oder vektor
+    // elementweise addition (beide matrizen selbe größe)
+    if(matrix1.rows == matrix2.rows && matrix1.cols == matrix2.cols){
+        Matrix resultmatrix = createMatrix(matrix1.rows, matrix1.cols);
+        for(int i = 0; i < (matrix1.rows * matrix1.cols); i++){
+            resultmatrix.buffer[i] = matrix1.buffer[i] + matrix2.buffer[i];
+        }
+        return resultmatrix;
+    }
+    // broadcasting
+    // A Matrix B Vektor
+    if(matrix1.rows == matrix2.rows && matrix2.cols == 1){
+        Matrix resultmatrix = createMatrix(matrix1.rows, matrix1.cols);
+        // TODO
+        for(int rows = 0; rows < matrix1.rows; rows++){
+            for(int cols = 0; cols < matrix1.cols; cols++){
+                MatrixType wertm1 = getMatrixAt(matrix1, rows, cols);
+                MatrixType wertm2 = getMatrixAt(matrix2, rows, 0);
+                setMatrixAt(wertm1 + wertm2, resultmatrix, rows, cols);
+            }
+        }
+        return resultmatrix;
+    }
+
+    // A Vektor B Matrix
+    if(matrix1.rows == matrix2.rows && matrix1.cols == 1){
+        Matrix resultmatrix = createMatrix(matrix1.rows, matrix2.cols);
+        // TODO
+        for(int rows = 0; rows < matrix1.rows; rows++){
+            for(int cols = 0; cols < matrix2.cols; cols++){
+                MatrixType wertm1 = getMatrixAt(matrix1, rows, 0);
+                MatrixType wertm2 = getMatrixAt(matrix2, rows, cols);
+                setMatrixAt(wertm1 + wertm2, resultmatrix, rows, cols);
+            }
+        }
+        return resultmatrix;
+    }
+
+    Matrix undef; 
+    undef.rows = 0;
+    undef.cols = 0;
+    undef.buffer = NULL;
+    return undef;
 }
 
 Matrix multiply(const Matrix matrix1, const Matrix matrix2)
 {
-    
+    // bedingung für A*B: A.cols = B.rows
+    if(matrix1.cols == matrix2.rows){
+        Matrix resultmatrix = createMatrix(matrix1.rows, matrix2.cols);
+        for(int i = 0; i < matrix1.rows; i++){
+            for(int j = 0; j < matrix2.cols; j++){
+                MatrixType summe = 0;
+
+                for(int l = 0; l <matrix1.cols; l++){
+                    summe += getMatrixAt(matrix1, i, l) * getMatrixAt(matrix2, l, j);
+                }
+                setMatrixAt(summe, resultmatrix, i, j);
+            }
+        }
+        return resultmatrix;
+    }
+    Matrix undef; 
+    undef.rows = 0;
+    undef.cols = 0;
+    undef.buffer = NULL;
+    return undef;
 }
\ No newline at end of file
diff --git a/matrix.h b/matrix.h
index cc640d1..05ce133 100644
--- a/matrix.h
+++ b/matrix.h
@@ -6,6 +6,11 @@
 typedef float MatrixType;
 
 // TODO Matrixtyp definieren
+typedef struct{
+    unsigned int rows;
+    unsigned int cols;
+    MatrixType *buffer;
+}Matrix;
 
 
 Matrix createMatrix(unsigned int rows, unsigned int cols);
diff --git a/runMatrixTests b/runMatrixTests
new file mode 100755
index 0000000..902c18d
Binary files /dev/null and b/runMatrixTests differ
diff --git a/runMatrixTests.dSYM/Contents/Info.plist b/runMatrixTests.dSYM/Contents/Info.plist
new file mode 100644
index 0000000..53f0f1a
--- /dev/null
+++ b/runMatrixTests.dSYM/Contents/Info.plist
@@ -0,0 +1,20 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE plist PUBLIC "-//Apple Computer//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
+<plist version="1.0">
+	<dict>
+		<key>CFBundleDevelopmentRegion</key>
+		<string>English</string>
+		<key>CFBundleIdentifier</key>
+		<string>com.apple.xcode.dsym.runMatrixTests</string>
+		<key>CFBundleInfoDictionaryVersion</key>
+		<string>6.0</string>
+		<key>CFBundlePackageType</key>
+		<string>dSYM</string>
+		<key>CFBundleSignature</key>
+		<string>????</string>
+		<key>CFBundleShortVersionString</key>
+		<string>1.0</string>
+		<key>CFBundleVersion</key>
+		<string>1</string>
+	</dict>
+</plist>
diff --git a/runMatrixTests.dSYM/Contents/Resources/DWARF/runMatrixTests b/runMatrixTests.dSYM/Contents/Resources/DWARF/runMatrixTests
new file mode 100644
index 0000000..fe3d8d0
Binary files /dev/null and b/runMatrixTests.dSYM/Contents/Resources/DWARF/runMatrixTests differ
diff --git a/runMatrixTests.dSYM/Contents/Resources/Relocations/aarch64/runMatrixTests.yml b/runMatrixTests.dSYM/Contents/Resources/Relocations/aarch64/runMatrixTests.yml
new file mode 100644
index 0000000..06dc558
--- /dev/null
+++ b/runMatrixTests.dSYM/Contents/Resources/Relocations/aarch64/runMatrixTests.yml
@@ -0,0 +1,5 @@
+---
+triple:          'arm64-apple-darwin'
+binary-path:     runMatrixTests
+relocations:     []
+...