(a) If A and B are two square matrices such that AB = 0, then A = 0 or B = 0. 1 1 3 0 10 1 -1 (b) 13 = 3 0 + 1 0 + 하

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 9E
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Explain why are these statements/arguments not true

(a) If A and B are two square matrices such that AB = O, then A = 0 or B = 0.
1 1 3
(b) 1 3 0
0 1 -1
=
3
0
+
1
+
3
Transcribed Image Text:(a) If A and B are two square matrices such that AB = O, then A = 0 or B = 0. 1 1 3 (b) 1 3 0 0 1 -1 = 3 0 + 1 + 3
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