True or false (give a reason if true or a counterexample if false): (a) If A is a real

Chapter 10, Problem 6

(choose chapter or problem)

True or false (give a reason if true or a counterexample if false): (a) If A is a real matrix then A + il is invertible. (b) If A is a Hermitian matrix then A + i 1 is invertible. (c) If U is a unitary matrix then A + if is invertible.

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