Performs the multiplication of two input matrices or an input matrix and an input vector. The data types you wire to the A and B inputs determine the polymorphic instance to use.

(FPGA Module) To multiply a matrix by a vector on an FPGA, use the Matrix*Vector Express VI.


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If A is an n-by-k matrix and B is a k-by-m matrix, the matrix multiplication of A and B, C = AB, results in a matrix, C, whose dimensions are n-by-m. Let A represent the 2D input array A, B represent the 2D input array B, and C represent the 2D output array A x B. The VI calculates the elements of C using the following equation.

where n is the number of rows in A, k is the number of columns in A and the number of rows in B, and m is the number of columns in B.

Note The A x B VI performs a strict matrix multiplication and not an element-by-element 2D multiplication. To perform an element-by-element multiplication, you must use the Multiply function. In general, AB ≠ BA.

A x Vector

If A is an n-by-k matrix, and X is a vector with k elements, the multiplication of A and X, Y = AX, results in a vector Y with n elements. The VI calculates the elements of Y using the following equation.

where Y is the output A x Vector, A is the input matrix A, X is the input Vector, n is the number of rows in A, and k is the number of columns in A and the number of elements in Vector.

Vector x A

If X′ is a row vector with n elements and A is an n-by-k matrix, the multiplication of X′ and A, Y = X′A, results in a row vector Y′ with k elements. The VI calculates the elements of Y′ using the following equations.

and

X'=[x0 x1 … xn–1] Y'=[y0 y1 … yk–1]

where Y′ is the output V′ x A, X′ is the input Vector V′, A is the input matrix A, n is the number of elements in Vector V′ and the number of rows in A, and k is the number of columns in A.