12. By using elementary row operations, find the inverse of the matrix 2 1 -1 21 1 3 2 -3 -1 1 -1 2 -3 -1 41

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 44EQ
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Solve Q12
13:18 O B
ll E 44
the total value of his change is $2.75, how many dimes and how many
quarters does he have?
8. Find the value of 'A' if 'A' is a singular matrix.
31
[4
A= 17
l2 3
6.
1.
9. Use the adjoint of A to find A, where
-1
3
2
A =
-2
-2.
Confirm your answer by showing that AA = / = A²A.
10. Use matrices to solve the system
x1 – 2x2 + x3 = -4
2х, — Зх, + 2хз — —6
2x1 + 2x2 + x3 = 5
11. Solve the following system of linear equations by Cramer's rule.
х — 2у +z %3D-1
Зх + у — 2z 3 4
y - z = 1
12. By using elementary row operations, find the inverse of the matrix
1
-1
2-
1
-1
3
2 -3
2
1
-1
4
2
-3
-1
Prepared by,
Engr.Abrar Khalid Qureshi
Page
2
| 2
+
Transcribed Image Text:13:18 O B ll E 44 the total value of his change is $2.75, how many dimes and how many quarters does he have? 8. Find the value of 'A' if 'A' is a singular matrix. 31 [4 A= 17 l2 3 6. 1. 9. Use the adjoint of A to find A, where -1 3 2 A = -2 -2. Confirm your answer by showing that AA = / = A²A. 10. Use matrices to solve the system x1 – 2x2 + x3 = -4 2х, — Зх, + 2хз — —6 2x1 + 2x2 + x3 = 5 11. Solve the following system of linear equations by Cramer's rule. х — 2у +z %3D-1 Зх + у — 2z 3 4 y - z = 1 12. By using elementary row operations, find the inverse of the matrix 1 -1 2- 1 -1 3 2 -3 2 1 -1 4 2 -3 -1 Prepared by, Engr.Abrar Khalid Qureshi Page 2 | 2 +
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