HW 25 Solutions Math 110 Spring 2017 - HW 15 Solutions MATH...

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HW 15 Solutions, MATH 110 with Professor StankovaE-mail corrections to [email protected]6.5 #1 (a) True.A*=A-1, andA-1A=AA-1. (b) False (overR); for example, take a rotationoperator inR2. True overCby theorem. (c) False. Not every invertible matrix is unitary.(d) True. (e) False. Take the identity matrix, summed with itself. (f) True; the adjoint is theinverse. (g) False.βmust be orthonormal. (h) False. It could be a Jordan block. (i) False.Theorem.

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