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Pagé 130 of 394 B A 7(AB) = B TA A)B = B InB = B B = In. Exercises 2.3 1. Use Gaussian elimination to find A-1 (if it exists): 2 1 3 1 2 3 *а. А %3 1 3 d. A = 1 1 2 f. A = 4 5 1 2 7 8. 9 1 b. A = 2 3 6. 1 1 2 3 4 1 2 *е. А — 2 1 "g. A = 1 1 c. A = -1 3 -1 3 1 -1 1 2

Pagé 130 of 394 B A 7(AB) = B TA A)B = B InB = B B = In. Exercises 2.3 1. Use Gaussian elimination to find A-1 (if it exists): 2 1 3 1 2 3 *а. А %3 1 3 d. A = 1 1 2 f. A = 4 5 1 2 7 8. 9 1 b. A = 2 3 6. 1 1 2 3 4 1 2 *е. А — 2 1 "g. A = 1 1 c. A = -1 3 -1 3 1 -1 1 2

Advanced Engineering Mathematics
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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algebra 2.3 Q1 only sub questions b, d, f

Page 130 of 394 (B A 7(AB) = B (A A)B = B_ In B = B B = In. Exercises 2.3 1. Use Gaussian elimination to find A-1 (if it exists): 1 2 1 2 3 1 2 3 *а. А 1 3 d. A = 1 1 2 f. А — 4 6. 3 1 2 7 8. 9. 1 b. A = 2 6. 1 1 2 3 4 *е. А — *g. A 1 1 1 1 с. А — 3 -1 3 1 1 1 2
Transcribed Image Text:Page 130 of 394 (B A 7(AB) = B (A A)B = B_ In B = B B = In. Exercises 2.3 1. Use Gaussian elimination to find A-1 (if it exists): 1 2 1 2 3 1 2 3 *а. А 1 3 d. A = 1 1 2 f. А — 4 6. 3 1 2 7 8. 9. 1 b. A = 2 6. 1 1 2 3 4 *е. А — *g. A 1 1 1 1 с. А — 3 -1 3 1 1 1 2
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Step 1

To check whether the matrix is invertible, first we have to evaluate its determinant and if its determinant is not equal to zero then we can find inverse.

And if determinant is zero then inverse does not exist.

For solution look at step 2

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