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0. -1 1. 3. -1 1 Let, A -2 1. 4. -1 -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.

0. -1 1. 3. -1 1 Let, A -2 1. 4. -1 -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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-1 1 1 1 Let, A = 3. -1 0. -2 1 4. -1 3 -1 -5 1 -6, a. Find a 5x5 matrix B such that AB 0, where 0 is the 4x5 zero matrix. %3D b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2. !!
Transcribed Image Text:-1 1 1 1 Let, A = 3. -1 0. -2 1 4. -1 3 -1 -5 1 -6, a. Find a 5x5 matrix B such that AB 0, where 0 is the 4x5 zero matrix. %3D b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2. !!
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