Section 2.2 1. Find the inverse of each matrix or determine the matrix is singular. 4 -3] (a) s [1 0 0] (b) 1 1 0 1 1 -3] 2. (a) Find the inverse of 7 (b) Use your answer from (a) to solve the linear system. 4x - 3y = 4 -8.r + 7y = 4 (c) Use your answer from (a) to solve the linear system. 4x - 3y = 0 -8r + 7y = 8 3. Let A, B, and C be n x n invertible matrices. Simplify the expression below as much as possible. (AC-!)-"(BA")"(B-1)".

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 49PS
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Please answer all questions
Section 2.2
1. Find the inverse of each matrix or determine the matrix is singular.
-3]
(a)
-8
07
(b) 1 1 0
1
-3]
2. (a) Find the inverse of
8.
7
(b) Use your answer from (a) to solve the linear system.
4x – 3y = 4
-8r + 7y = 4
(c) Use your answer from (a) to solve the linear system.
4.x – 3y = 0
-8x + 7y = 8
3. Let A, B, and C be n x n invertible matrices. Simplify the expression below as much
as possible.
(AC-!)-'(BA")"(B-1)".
Transcribed Image Text:Section 2.2 1. Find the inverse of each matrix or determine the matrix is singular. -3] (a) -8 07 (b) 1 1 0 1 -3] 2. (a) Find the inverse of 8. 7 (b) Use your answer from (a) to solve the linear system. 4x – 3y = 4 -8r + 7y = 4 (c) Use your answer from (a) to solve the linear system. 4.x – 3y = 0 -8x + 7y = 8 3. Let A, B, and C be n x n invertible matrices. Simplify the expression below as much as possible. (AC-!)-'(BA")"(B-1)".
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