Consider the real vector space M2x3(R) with the usual inner product (A, B) = tr (B' A) Given the matrices 10 2 -1 2 1 2 and C = A B = 0 3 0 -1 Determine (A, B) , (A + B, C), ||A|| || B|| ||C|| and cos(O) where O is the angle between matrices A and B

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 66E
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Consider the real vector space M2x3(R) with the usual inner product
(А, В) — tr (B'A)
Given the matrices
10 2
-2 1
2 -3
2
A =
B
and C =
-1 2 1
0 3
-1
Determine
(A, B) , (A + B, C), ||A|| , || B|| ||C|| and cos(e)
where O is the angle between matrices A and B
Transcribed Image Text:Consider the real vector space M2x3(R) with the usual inner product (А, В) — tr (B'A) Given the matrices 10 2 -2 1 2 -3 2 A = B and C = -1 2 1 0 3 -1 Determine (A, B) , (A + B, C), ||A|| , || B|| ||C|| and cos(e) where O is the angle between matrices A and B
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