To solve the following system of linear equations using inverse matrix
Answer to Problem 49E
No solution
Explanation of Solution
Given:
Concept used:
To find inverse of a square matrix A, following steps should be followed.
- Augment given matrix with the identity matrix
- Perform row operations to make the identity matrix to the left and the right matrix becomes inverse matrix.
In this way, inverse matrix of a matrix can be obtained.
Formula used:
Calculation:
Consider given system of equations,
Writing above system of linear equations in matrix form
Here,
Now, find the inverse matrix of matrix A.
Step 1: Augmenting matrix A with the identity matrix
Step 2: Performing row operations to make the identity matrix to the left.
Here, the last row contains 2 zeros. So, it is not possible to make it identity matrix.
So, inverse matrix does not exist for the matrix.
Conclusion:
Therefore, there is no solution to given system of equations.
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
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