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
Related questions
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)