9. Use the adjoint of A to find A', where -1 3 A =0 -2 1 -2] 1 Confirm your answer by showing that AA = | = AA.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve Q9
13:18 O E
ll E 44
classroom.google.com/i
3
5. Consider the matrices
A =
В 3
Then, prove that (AB) = B'A1
6. Use the given information to find 'A'.
(I + 2A)-1 =
4
7. A man has 14 coins in his pocket, all of which are dimes & quarters. If
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.
A= 7 3 6
2 3
1.
9. Use the adjoint of A to find A, where
-1
3
A =
-2
1
1
Confirm your answer by showing that AA = | = A*A.
10. Use matrices to solve the system
X1 – 2x2 + x3 = -4
2х, — Зх, + 2х; — —6
2x1 + 2x2 + x3 = 5
11. Solve the following system of linear equations by Cramer's rule.
х — 2у + z %3D -1
3r +v - 27 = 4
M
+
Transcribed Image Text:13:18 O E ll E 44 classroom.google.com/i 3 5. Consider the matrices A = В 3 Then, prove that (AB) = B'A1 6. Use the given information to find 'A'. (I + 2A)-1 = 4 7. A man has 14 coins in his pocket, all of which are dimes & quarters. If 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. A= 7 3 6 2 3 1. 9. Use the adjoint of A to find A, where -1 3 A = -2 1 1 Confirm your answer by showing that AA = | = A*A. 10. Use matrices to solve the system X1 – 2x2 + x3 = -4 2х, — Зх, + 2х; — —6 2x1 + 2x2 + x3 = 5 11. Solve the following system of linear equations by Cramer's rule. х — 2у + z %3D -1 3r +v - 27 = 4 M +
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