Let A = [ai j] be an n n matrix. Let be a nonzero number.

Chapter 8, Problem 8.2

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Let A = [ai j] be an n n matrix. Let be a nonzero number. Form the matrix B = [i j ai j]. How are |A| and |B| related? Hint: It is useful to look at the 2 2 and 3 3 cases to get some idea of what B looks like.

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