Need help with this question. Please explain each step. Thank you :) Let V denote the inner product space of real 2 by 2 matrices endowed with the inner product1(A, B) = —tr(A¹ B)DefineLet W =(B)12?Answer:span{M₁, M₂} and AM₁and note that S = {M₁, M₂} is orthonormal.12[343=M₂==10RJ1A, BEVIf B is the closest point in W to A, what is

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Let V denote the inner product space of real 2 by 2 matrices endowed with the inner product (A, B) = u(A¹B) Define Let W = (B)12? Answer: M₁ span{M₁, M₂} and A : = M₂ and note that S = {M₁, M₂} is orthonormal. 14 = = [1 J A, BEV 2 . If B is the closest point in W to A, what is 3

Let V denote the inner product space of real 2 by 2 matrices endowed with the inner product (A, B) = u(A¹B) Define Let W = (B)12? Answer: M₁ span{M₁, M₂} and A : = M₂ and note that S = {M₁, M₂} is orthonormal. 14 = = [1 J A, BEV 2 . If B is the closest point in W to A, what is 3

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 24E

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Need help with this question. Please explain each step. Thank you :)

Let V denote the inner product space of real 2 by 2 matrices endowed with the inner product
1
(A, B) = —tr(A¹ B)
Define
Let W =
(B)12?
Answer:
span{M₁, M₂} and A
M₁
and note that S = {M₁, M₂} is orthonormal.
1
2
[3
4
3
=
M₂
=
=
1
0
RJ
1
A, BEV
If B is the closest point in W to A, what is

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