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Student[LinearAlgebra][IsOrthogonal] - test if a Matrix is orthogonal
Student[LinearAlgebra][IsUnitary] - test if a Matrix is unitary
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Calling Sequence
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IsOrthogonal(A, options)
IsUnitary(A, options)
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Description
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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.
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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.
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Examples
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![with(Student[LinearAlgebra])](/support/helpjp/helpview.aspx?si=4395/file04999/math113.png)
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![G := Matrix([[cos((1/7)*Pi), -sin((1/7)*Pi)], [sin((1/7)*Pi), cos((1/7)*Pi)]])](/support/helpjp/helpview.aspx?si=4395/file04999/math120.png)
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![Matrix([[1, 0], [0, 1]])](/support/helpjp/helpview.aspx?si=4395/file04999/math134.png)
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![Q := Matrix([[(3/10)*10^(1/2), ((1/10)*I)*10^(1/2)], [-(1/10)*10^(1/2), ((3/10)*I)*10^(1/2)]])](/support/helpjp/helpview.aspx?si=4395/file04999/math141.png)
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