For each A, B, C below, determine whether {A, B, C} is is linearly independent or linearly dependent. If it is dependent, give a non- trivial linear combination of the matrices yielding the zero matrix. -2 B = -2 7 = 1 -4 -2 7 1 a) A = C = -1 1 4 -7 {A, B, C} is linearly dependent 0 = 0 -2 -10 6 B : 0 -2 - b) A = C = %3D -1 1 5 -3 -2 {A, B, C} is linearly independent
For each A, B, C below, determine whether {A, B, C} is is linearly independent or linearly dependent. If it is dependent, give a non- trivial linear combination of the matrices yielding the zero matrix. -2 B = -2 7 = 1 -4 -2 7 1 a) A = C = -1 1 4 -7 {A, B, C} is linearly dependent 0 = 0 -2 -10 6 B : 0 -2 - b) A = C = %3D -1 1 5 -3 -2 {A, B, C} is linearly independent
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 17RQ
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