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
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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F659d658f-ba4d-4d95-8560-a981b8644451%2F6902eb7b-bd4c-41c1-8061-709e243f1e6c%2Fhpaxoga_processed.png&w=3840&q=75)
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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