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If [a11 a12 A = a21 and B = a22 [b11 b12 b21 b22] are arbitrary vectors in Rx2, then the mapping (A, B) = a11bi1 + a12b12 + a21b21 + a22b22 defines an inner product in R2x2 Use this inner product to determine (A, B), || A||. || B||, and the angle a A,B between A and B for -5 A = -2 and B = -2 -3 (A, B) = || 4|| = || B|| a A,B =

If [a11 a12 A = a21 and B = a22 [b11 b12 b21 b22] are arbitrary vectors in Rx2, then the mapping (A, B) = a11bi1 + a12b12 + a21b21 + a22b22 defines an inner product in R2x2 Use this inner product to determine (A, B), || A||. || B||, and the angle a A,B between A and B for -5 A = -2 and B = -2 -3 (A, B) = || 4|| = || B|| a A,B =

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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If [a11 a12 A = a21 and B= a22 [b11 b12] b21 b22] are arbitrary vectors in R2x2, then the mapping (A, B) = a11b11 + a12b12 + a21b21 + a22b22 defines an inner product in R2x2 Use this inner product to determine (A, B), || A||. ||B||, and the angle a A.B between A and B for -5 and B = 2 A = (A, B) = ||A|| = || B|| a A,B
Transcribed Image Text:If [a11 a12 A = a21 and B= a22 [b11 b12] b21 b22] are arbitrary vectors in R2x2, then the mapping (A, B) = a11b11 + a12b12 + a21b21 + a22b22 defines an inner product in R2x2 Use this inner product to determine (A, B), || A||. ||B||, and the angle a A.B between A and B for -5 and B = 2 A = (A, B) = ||A|| = || B|| a A,B
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