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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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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