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linalg::transpose

Transpose of a matrix

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Syntax

linalg::transpose(A)

Description

linalg::transpose(A) returns the transpose At of the matrix A.

linalg::transpose is an interface function for the method "transpose" of the matrix domain of A, i.e., instead of linalg::transpose(A) one may call A::dom::transpose(A) directly.

Examples

Example 1

We define a 3×4 matrix:

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

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

linalg::transpose(A)

Parameters

A

A matrix of a domain of category Cat::Matrix

Return Values

Matrix of the same domain type as A.

Algorithms

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

.

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