(a) Find the inverse of the matrix A-¹ = A = X1 + X1 X2 X3 3 -5 1 || 0 1 3 -6 1 1 -1 (b) Use the answer from part (a) to solve the linear system 3x1 + 3x2 + 10x3 - 5x1 6x2 15x3 3x3 x2 0 + 10 -15 3 15 -5 = - = 5 4 -5

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.3: The Inverse Of A Square Matrix
Problem 5ECP
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I tried to do part B, which gave me x1=65, x2=-24 and x3=10, but it says its wrong.
(a) Find the inverse of the matrix
A-¹
=
A
=
3
-5
1
X1 +
0
1
3
-6
1
1
-1
0
x2 +
10
-15
3
(b) Use the answer from part (a) to solve the linear system
3x1 + 3x2 + 10x3
- 5x1
6x2
15x3
3x3
15
-5
-
-
-
X1
@- [8]
X2
_x3_
5
4
-5
Transcribed Image Text:(a) Find the inverse of the matrix A-¹ = A = 3 -5 1 X1 + 0 1 3 -6 1 1 -1 0 x2 + 10 -15 3 (b) Use the answer from part (a) to solve the linear system 3x1 + 3x2 + 10x3 - 5x1 6x2 15x3 3x3 15 -5 - - - X1 @- [8] X2 _x3_ 5 4 -5
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