► In Exercises 13-18, use the inversion algorithm to find the in- verse of the matrix (if the inverse exists). 1 1 13. 4:0 1 1 1 1 15. 26 6 2 7 6 2 7 7 √2 14. -4√2 0 16. 1 1 3 1 3 1 3√2 0 √√2 0 0 1 000 0 0 5 0 3 5 7

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
Problem 7BEXP
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In Exercises 13-18, use the inversion algorithm to find the in-
verse of the matrix (if the inverse exists).
13.
15.
1 0 1
0 1
1
1
1
0
2
66
2
7 6
2 7 7
14.
16.
√2
-4√/2
0
1
1
1
3√2 0
√2 0
0 1
00
0
3 0
0
3 5 0
135 7
Transcribed Image Text:In Exercises 13-18, use the inversion algorithm to find the in- verse of the matrix (if the inverse exists). 13. 15. 1 0 1 0 1 1 1 1 0 2 66 2 7 6 2 7 7 14. 16. √2 -4√/2 0 1 1 1 3√2 0 √2 0 0 1 00 0 3 0 0 3 5 0 135 7
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