Student[LinearAlgebra]
IsOrthogonal
test if a Matrix is orthogonal
IsUnitary
test if a Matrix is unitary
Calling Sequence
Parameters
Description
Examples
IsOrthogonal(A, options)
IsUnitary(A, options)
A
-
square Matrix
options
(optional) parameters; for a complete list, see LinearAlgebra[IsOrthogonal]
The IsOrthogonal(A) command determines if is an orthogonal Matrix (, where is the transpose and is the identity Matrix).
In general, the IsOrthogonal command returns true if it can determine that Matrix is orthogonal, false if it can determine that the Matrix is not orthogonal, and FAIL otherwise.
The IsUnitary(A) command determines if is a unitary Matrix (, where is the Hermitian transpose and is the identity Matrix).
In general, the IsUnitary command returns true if it can determine that Matrix is unitary, false if it can determine that the Matrix is not unitary, and FAIL otherwise.
See Also
LinearAlgebra[IsOrthogonal]
map
simplify
Student[LinearAlgebra][IdentityMatrix]
Student[LinearAlgebra][Operators]
Student[LinearAlgebra][RotationMatrix]
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