12. CAS EXPERIMENT. Orthogonal Matrices. (a) Products. Inverse. Prove that the product of two orthogonal matrices is orthogonal, and so is the inverse of an orthogonal matrix. What does this mean in terms of rotations?

Elementary Linear Algebra (MindTap Course List)
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Chapter2: Matrices
Section2.1: Operations With Matrices
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12. CAS EXPERIMENT. Orthogonal Matrices.
(a) Products. Inverse. Prove that the product of two
orthogonal matrices is orthogonal, and so is the inverse
of an orthogonal matrix. What does this mean in terms
of rotations?
Transcribed Image Text:12. CAS EXPERIMENT. Orthogonal Matrices. (a) Products. Inverse. Prove that the product of two orthogonal matrices is orthogonal, and so is the inverse of an orthogonal matrix. What does this mean in terms of rotations?
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