# Wiki

Clone wiki# blaze / Matrix-Vector Multiplication

In **Blaze** matrix/vector multiplications can be as intuitively formulated as in mathematical textbooks. Just as in textbooks there are two different multiplications between a matrix and a vector: a matrix/column vector multiplication and a row vector/matrix multiplication:

```
using blaze::StaticVector;
using blaze::DynamicVector;
using blaze::DynamicMatrix;
DynamicMatrix<int> M1( 39UL, 12UL );
StaticVector<int,12UL,columnVector> v1;
// ... Initialization of the matrix and the vector
DynamicVector<int,columnVector> v2 = M1 * v1; // Matrix/column vector multiplication
DynamicVector<int,rowVector> v3 = trans( v1 ) * M1; // Row vector/matrix multiplication
```

Note that the storage order of the matrix poses no restrictions on the operation. Also note, that the highest performance for a multiplication between a dense matrix and a dense vector can be achieved if both the matrix and the vector have the same scalar element type.

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