To calculate: The inverse ofmatrix if exist.
Answer to Problem 16E
Inverse of matrix
Explanation of Solution
Given information:
Calculation:
Let call the given matrix as
Dimension of the matrix
Inverse of
If
Make use of elementary row operations for changing the left side into the identity matrix.
Transform left half of this new matrix into the odentity matrix by performing the below sequence of elementary row operations on entire new matrix.
Interchange the row
Add
Add
Add
Add
Add row
Multiply
Therefore,
Left hand of this matrix changed into an identity matrix
The right half is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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