Answered: 4. Let 1/2 A = have singular value… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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4. Let
have singular value decomposition
1/2.
-----
-1/2 1/
2 5
6 3 0
400
A =
6 3 0
5
12 0 0
0 6
0 0
0
0
-1/2 -1/
0 0 0
(a) Use the singular value decomposition to show an orthonormal bases of C(AT) and N(A).
(b) Use the singular value decomposition to show an orthonormal bases of C(A), and N(AT).
(c) Use the singular value decomposition to determine the rank of A.

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