(a) Using Cramer's rule, find x₁, given the following system of equations: 5x1 + x2-x3 = 4 = 1 = 2 9x1 x2 x3 x1 - x2+5x3 (b) Using the adjoint formula for the inverse, find the (1,2) entry of A-1 for the matrix 1 A = 9 1 -1 -1 5 [Note: Your work in part (a) might be helpful.]

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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(a) Using Cramer's rule, find x₁, given the following system of equations:
5x1 + x2-x3
=
4
=
1
=
2
9x1 x2 x3
x1 - x2+5x3
(b) Using the adjoint formula for the inverse, find the (1,2) entry of A-1 for the matrix
1
A =
9
1
-1
-1
5
[Note: Your work in part (a) might be helpful.]
Transcribed Image Text:(a) Using Cramer's rule, find x₁, given the following system of equations: 5x1 + x2-x3 = 4 = 1 = 2 9x1 x2 x3 x1 - x2+5x3 (b) Using the adjoint formula for the inverse, find the (1,2) entry of A-1 for the matrix 1 A = 9 1 -1 -1 5 [Note: Your work in part (a) might be helpful.]
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