Only one of the following matrices has an inverse. Find the determinant of each matrix, and use the determinants to identify the one that has an inverse. Then find the inverse.
The determinant of the matrices and on the basis of determinant calculate inverse.
Answer to Problem 11T
The determinant of
Explanation of Solution
Given:
The given matrices are,
Calculation:
The determinant of matrix
Expand the matrix by row
The determinant of matrix A is 0 therefore the inverse of the matrix is not possible.
Find the determinant of matrix
Expand the matrix by row
The determinant of the matrix
The given matrix is,
Write the matrix of
Transform the left half portion of the above matrix into identity matrix by using elementary row operation.
Apply row operation
Apply row operations
Apply row operation
The inverse of the matrix
Thus, the determinant of
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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