Answered: Find , ||A||, ||B||, and d(A,B) for the…

Find , ||A||, ||B||, and d(A,B) for the matrices in M2,2 using the inner product = 2a11b11 + a21b21 + a12b12 + 2a22b22 A = 4 2 1 -1 B = 0 -2 1 0

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

Find <A,B>, ||A||, ||B||, and d(A,B) for the matrices in M_2,2using the inner product <A,B> = 2a₁₁b₁₁ + a₂₁b₂₁ + a₁₂b₁₂ + 2a₂₂b₂₂

A =

4	2
1	-1

B =

0	-2
1	0

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