1. For each matrix 8. a) 4. 1 13

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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2. For each matrix A of Problem 1, write down orthonormal base for all four fundamental subspaces.
(This can be read off from your answers to Problem 1.)

1. For each matrix A, find the singular value decomposition in the matrix form A = U£VT.
-3
11
a)
b)
10
-2
7 10
3 7 1
8
13
d)
e)
6 2 2 -2|
3 1
7
13 1
5 -6
-4
6
2. For each matrix A of Problem 1, write down orthonormal base for all four fundamental subspaces.
(This can be read off from your answers to Problem 1.)
Transcribed Image Text:1. For each matrix A, find the singular value decomposition in the matrix form A = U£VT. -3 11 a) b) 10 -2 7 10 3 7 1 8 13 d) e) 6 2 2 -2| 3 1 7 13 1 5 -6 -4 6 2. For each matrix A of Problem 1, write down orthonormal base for all four fundamental subspaces. (This can be read off from your answers to Problem 1.)
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