d) If A and B are 4 x 4 nonsingular matrices such that |2A-B2| = 32, then|A| = LBe) Let S = {(1,0,0,0), (01,0,0), (2,3,5a, 0), (a, 0,2, a - 2)} be set of vectors inR*. The set S is linearly independent if and only if a + 0.

d) If A and B are 4 x 4 nonsingular matrices such that |2A¬'B²| = 32, then |4| = 8 e) Let S = {(1,0,0,0), (01,0,0), (2,3,5a, 0), (a, 0,2, a - 2)} be set of vectors in R*. The set S is linearly independent if and only if a + 0.

d) If A and B are 4 x 4 nonsingular matrices such that |2A¬'B²| = 32, then |4| = 8 e) Let S = {(1,0,0,0), (01,0,0), (2,3,5a, 0), (a, 0,2, a - 2)} be set of vectors in R*. The set S is linearly independent if and only if a + 0.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 44EQ

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Question

d) If A and B are 4 x 4 nonsingular matrices such that |2A-B2| = 32, then
|A| = LB
e) Let S = {(1,0,0,0), (01,0,0), (2,3,5a, 0), (a, 0,2, a - 2)} be set of vectors in
R*. The set S is linearly independent if and only if a + 0.

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