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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
2
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f235440-846f-481a-843d-256d72715aa1%2F54efbdfc-78cf-4bfc-82f8-8cf759f9f149%2Fw0ak53r_processed.jpeg&w=3840&q=75)
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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