diff --git a/matrix.c b/matrix.c
index e756b98..67c64ce 100644
--- a/matrix.c
+++ b/matrix.c
@@ -85,6 +85,34 @@ Matrix add(const Matrix matrix1, const Matrix matrix2)
 }
 
 Matrix multiply(const Matrix matrix1, const Matrix matrix2)
-{
+{  if (matrix1.cols != matrix2.rows){ // check compatibility
+    Matrix empty = {.rows =0, .cols=0, .buffer =NULL};
+    return empty;
+}
+ unsigned int resultRows = matrix1.rows; // determine result dimensions
+ unsigned int resultCols = matrix2.cols;
+
+ MatrixType *resultBuffer = malloc( resultRows * resultCols * sizeof(MatrixType)); // allocate memory 
+ if (resultBuffer == NULL){
+    Matrix empty = {.rows =0, .cols=0, .buffer= NULL};
+    return empty;
+ }
+ for (unsigned int i =0; i < resultRows; ++i){
+    for (unsigned int j =0; j< resultCols; ++j){
+        MatrixType sum = 0.0;
+        for (unsigned int k =0; k< matrix1.cols; ++k){
+            MatrixType val1 =getMatrixAt(matrix1, i,k);
+            MatrixType val2 = getMatrixAt(matrix2, k,j);
+            sum += val1 * val2;
+        }
+
+
+        unsigned int resultIndex = i * resultCols + j;
+        resultBuffer [resultIndex] = sum;
+    }
+ }
+  Matrix result = {.rows = resultRows, .cols = resultCols, .buffer =resultBuffer};
+  return result;
+
     
 }
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