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linalg::htranspose

Hermitian transpose of a matrix

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Syntax

linalg::htranspose(M)

Description

linalg::htranspose(M) computes the Hermitian transpose of the matrix M.

The Hermitian transpose of M is computed. The result is an n×m matrix.

The [i, j]th element of the result is equal to the conjugate of the [j, i]th element of M.

Examples

Example 1

We define a 3×4 matrix:

A := matrix([[1, 2, 3, 4], [-I, 0, 1+I, 0], [3, 5, 6, 9]])

Then the Hermitian transpose of A is the 4 ×3 matrix:

linalg::htranspose(A)

Parameters

M

m×n matrix of domain Dom::Matrix

Return Values

n×m matrix of domain Dom::Matrix.

Overloaded By

M

Algorithms

Let A = (ai, j)1 ≤ im, 1 ≤ jn be an m×n matrix. Then the Hermitian transpose of A is the n×m matrix:

.

See Also

MuPAD Functions

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