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1 -1 1 -1 1 3 -1 Let, A = -2 1 4 -1 3 3 -1 -5 1 -6, a. Find a 5x5 matrix B such that AB = 0, where 0 is the 4x5 zero matrix. b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2.

1 -1 1 -1 1 3 -1 Let, A = -2 1 4 -1 3 3 -1 -5 1 -6, a. Find a 5x5 matrix B such that AB = 0, where 0 is the 4x5 zero matrix. b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 38CR
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1 -1 1 -1 1 3 -1 Let, A = -2 1 4 -1 3 3 -1 -5 1 -6 a. Find a 5x5 matrix B such that AB = 0, where 0 is the 4x5 zero matrix. b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2.
Transcribed Image Text:1 -1 1 -1 1 3 -1 Let, A = -2 1 4 -1 3 3 -1 -5 1 -6 a. Find a 5x5 matrix B such that AB = 0, where 0 is the 4x5 zero matrix. b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2.
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