Determine if the matrix is orthogonal
I don't know how to do it. Any help is appreciated! Thanks!
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The inverse of a orthogonal matrix is its transpose.
I'm not sure what that means or how to figure it out...
But here is the whole question: Consider the unit cube in based at the origin in the (+,+,+) octant. Let be an angle. Determine if the matrix is orthogonal.
so A is orthogonal
Is that the only way to do it? Is there another way you can check by using dot product or determinants?
Depends. If the determinant of a matrix is zero then it's not invertible thus not possibly orthogonal. Other than that computing should not be hard for small matrices.
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