linalg(deprecated)/orthog - Maple Help

linalg(deprecated)

 orthog
 test for orthogonal matrices

 Calling Sequence orthog(A)

Parameters

 A - square matrix

Description

 • Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[IsOrthogonal], instead.
 - For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.
 • The function orthog returns true if it can show that the matrix A is orthogonal, false if it can show that the matrix is not orthogonal, and FAIL otherwise.
 • A matrix is orthogonal if the inner product of any column of A with itself is 1, and the inner product of any column of A with any other column is 0.
 • The Maple function testeq is used to test whether expressions are equivalent to 0 or 1.
 • The command with(linalg,orthog) allows the use of the abbreviated form of this command.

Examples

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[IsOrthogonal], instead.

 > $\mathrm{with}\left(\mathrm{linalg}\right):$
 > $A≔\mathrm{array}\left(\left[\left[-\frac{1}{2},\frac{\mathrm{sqrt}\left(3\right)}{2}\right],\left[\frac{\mathrm{sqrt}\left(3\right)}{2},\frac{1}{2}\right]\right]\right)$
 ${A}{≔}\left[\begin{array}{cc}{-}\frac{{1}}{{2}}& \frac{\sqrt{{3}}}{{2}}\\ \frac{\sqrt{{3}}}{{2}}& \frac{{1}}{{2}}\end{array}\right]$ (1)
 > $\mathrm{orthog}\left(A\right)$
 ${\mathrm{true}}$ (2)