test for orthogonal matrices
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.
A ≔ array⁡−12,32,32,12
A ≔ −1212⁢312⁢312
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