Given matrix A shown on the right, do the following: a) Find the inverse matrix of A using the determinant and the adjoint matrix. Hint: adjoint matrix is the transpose of the cofactor matrix. b) Find the inverse matrix of A by appending an identity matrix to A and performing elementary row operations until A has become an identity matrix and the original identity matrix has transformed into A 1 3 1 1] 25 2 2 1 3 89 13 2 2

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given matrix A shown on the right, do the following:
a) Find the inverse matrix of A using the determinant and the adjoint
matrix. Hint: adjoint matrix is the transpose of the cofactor matrix.
b) Find the inverse matrix of A by appending an identity matrix to A and
performing elementary row operations until A has become an identity
matrix and the original identity matrix has transformed into A
131 1
25 22
A=
1 3 8 9
1 3 2 2
Transcribed Image Text:Given matrix A shown on the right, do the following: a) Find the inverse matrix of A using the determinant and the adjoint matrix. Hint: adjoint matrix is the transpose of the cofactor matrix. b) Find the inverse matrix of A by appending an identity matrix to A and performing elementary row operations until A has become an identity matrix and the original identity matrix has transformed into A 131 1 25 22 A= 1 3 8 9 1 3 2 2
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