(a) Write down two 2 x 2 non-zero matrices A and B such that AB = 0, the 2 × 2 zero matrix. 3 4] write down the elementary matrices E1 and E2 such that 1 2 (Ъ) Given A = [3 4 7 10 [1 2] E,A = and E2A = 3

(a) Write down two 2 x 2 non-zero matrices A and B such that AB = 0, the 2 × 2 zero matrix. 3 4] write down the elementary matrices E1 and E2 such that 1 2 (Ъ) Given A = [3 4 7 10 [1 2] E,A = and E2A = 3

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 10E: Find two nonzero matrices A and B such that AB=BA.

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Question

(a)
Write down two 2 x 2 non-zero matrices A and B such that AB = 0, the 2 × 2 zero matrix.
3 4]
write down the elementary matrices E1 and E2 such that
1 2
(Ъ)
Given A =
[3 4
7 10
[1 2]
E,A =
and E2A =
3

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