Problems: 1 -1 2 1 -1 1 Let, A = 1 3 -1 -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. %3D b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8AEXP
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Problems:
1
-1
1
-1
1 Let, A =
-2
1
-1
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.
b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2.
Transcribed Image Text:Problems: 1 -1 1 -1 1 Let, A = -2 1 -1 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. b Suppose C is a 5x5 matrix such that AC = 0. Prove that rank(C) < 2.
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