Prove or disprove: The vectors A_1 = [1 1 0 0] , A_2 = [1 2 1 1], and A_3 = [0 −1 0 −1] are linearly independent in M_2(R).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 45EQ
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Prove or disprove: The vectors A_1 = [1 1 0 0] , A_2 = [1 2 1 1], and A_3 = [0 −1 0 −1] are linearly independent in M_2(R).

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