Let A,B e M x n (C). (a) Prove that if B is invertible, then there exists a scalar c G C
Chapter 5, Problem 18(choose chapter or problem)
Let A,B e M x n (C). (a) Prove that if B is invertible, then there exists a scalar c G C such that A + cB is not invertible. Hint: Examine det(A + cB).
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