Find the inverse of the following matrices. -3 10 9 4 6010 3 2 -1 1 5 2 3 1 Demonstrate, by matrix multiplication, that AA-¹ = I₁. -6 2 (a) A = 67669 21552 5 (b) B= 7 3 66450 -2 -1 3 9 -1 4 -2 3 1 ܘܘ ܠܠܕ ܢ ܢܘ ܘܘ 5

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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3. Find the inverse of the following matrices.
-3 10 9
6
0
3
5
1 0
2 -1 1
2 3 1
Demonstrate, by matrix multiplication, that AA-¹
(a) A =
(b) B
-6
5
7
6
3
2 0 3 9
1
6
-1 4
3
4
-2 3
5
5
5 1
-2 -1 3
= 14.
Transcribed Image Text:3. Find the inverse of the following matrices. -3 10 9 6 0 3 5 1 0 2 -1 1 2 3 1 Demonstrate, by matrix multiplication, that AA-¹ (a) A = (b) B -6 5 7 6 3 2 0 3 9 1 6 -1 4 3 4 -2 3 5 5 5 1 -2 -1 3 = 14.
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