5. Consider the matrix 3 -1 3 0 0 1 0 A = 1 2 (a) Find A-1, the inverse matrix of A by using your favorite method.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.3: The Inverse Of A Matrix
Problem 23EQ: In Exercises 20-23, solve the given matrix equation for X. Simplify your answers as much as...
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please send handwritten solution for part a Q 5
5. Consider the matrix
-1 3
0 0
1 0
A =
1
2
(a) Find A-1, the inverse matrix of A by using your favorite method.
(b) Using A-1 from part (a), find the solution of the equation A = b, where b = (1,3, –1) and
the solution vector is = (x1, x2, X3).
(c) Use Cramer's rule to find ONLY x1, the first component of the solution vector . Hint: The x1
values in (b) and (c) must match.
Transcribed Image Text:5. Consider the matrix -1 3 0 0 1 0 A = 1 2 (a) Find A-1, the inverse matrix of A by using your favorite method. (b) Using A-1 from part (a), find the solution of the equation A = b, where b = (1,3, –1) and the solution vector is = (x1, x2, X3). (c) Use Cramer's rule to find ONLY x1, the first component of the solution vector . Hint: The x1 values in (b) and (c) must match.
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