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linalg::swapRow

Swap two rows in a matrix

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

Syntax

linalg::swapRow(A, r1, r2)
linalg::swapRow(A, r1, r2, c1 .. c2)

Description

linalg::swapRow(A, r1, r2) returns a copy of the matrix A with the rows with indices r1 and r2 interchanged.

The effect of linalg::swapRow(A, r1, r2, c1.. c2) is that only the components from column c1 to column c2 of row r1 are interchanged with the corresponding components of row r2.

Examples

Example 1

We consider the following matrix:

A := matrix(3, 3, (i, j) -> 3*(i - 1) + j)

The following command interchanges the first and the second row of A. The result is the following matrix:

linalg::swapRow(A, 1, 2)

If only the components in the first two columns should be affected, we enter:

linalg::swapRow(A, 1, 2, 1..2)

The third column remains unchanged.

Parameters

A

An m×n matrix of a domain of category Cat::Matrix

r1, r2

The row indices: positive integers less or equal to m

c1 .. c2

A range of column indices (positive integers less or equal to n)

Return Values

Matrix of the same domain type as A.

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