Let A = 2 B = -4] -4 8 Construct a 2 by 2 matrix B with all non-zero integer entries such that AB = 0. There are many correct answers to this problem - you just need to come up with one of them! There is no "right" way to do this problem either. Start 'guessing and checking' and you will gain some insights about how to find a correct answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Homework 10:

Question 9

2
-4 8
Construct a 2 by 2 matrix B with all non-zero integer entries such that AB = 0.
Let A
B =
-
There are many correct answers to this problem - you just need to come up with one of them! There
is no "right" way to do this problem either. Start 'guessing and checking' and you will gain some
insights about how to find a correct answer.
Transcribed Image Text:2 -4 8 Construct a 2 by 2 matrix B with all non-zero integer entries such that AB = 0. Let A B = - There are many correct answers to this problem - you just need to come up with one of them! There is no "right" way to do this problem either. Start 'guessing and checking' and you will gain some insights about how to find a correct answer.
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