Consider the matrices A = 1 1 [f] U = g h O V = 1 b b X 0 dB = 0 [f a 1 d g 1 C h 0 and X = y. If AX= U has infinitely 0 Z many solutions, then prove that BX= V has no unique solution. Also, show that if afd = 0, then BX = V has no solution.
Consider the matrices A = 1 1 [f] U = g h O V = 1 b b X 0 dB = 0 [f a 1 d g 1 C h 0 and X = y. If AX= U has infinitely 0 Z many solutions, then prove that BX= V has no unique solution. Also, show that if afd = 0, then BX = V has no solution.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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