a. Show that if A is an n n matrix, then det A = &n i=1 i, where i, ... , n are the

Chapter 7, Problem 14

(choose chapter or problem)

a. Show that if A is an n n matrix, then det A = &n i=1 i, where i, ... , n are the eigenvalues of A. [Hint: Consider p(0).] b. Show that A is singular if and only if = 0 is an eigenvalue of A.

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