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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Inputs/Outputs

  • c1ddbl.png Vector V' —

    Vector V' is the input vector.

  • c2ddbl.png Matrix A —

    Matrix A is the input matrix. The number of rows in Matrix A must match the number of elements in Vector V' and must be greater than zero.

    If the number of rows in Matrix A does not match the number of elements in Vector V', the VI sets V' x A to an empty array and returns an error.

  • i1ddbl.png V' x A —

    V' x A is the output vector containing the result of Vector V' multiplied by Matrix A.

  • ii32.png error —

    error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

    • 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.