Matrix Inverse Worksheet

Solutions

1Calculate the matrix inverse by the gaussian elimination method.

Matrix

2Calculate the matrix inverse by the gaussian elimination method.

Matrix

3Calculate the matrix inverse by determinants.

Matrix

4For what values of m in the matrix    >Matrix    does not support an inverse?

5For what values of x in the matrix    Matrix   does the matrix inverse not support?


1

Calculate the inverse matrix by the gaussian elimination method.

Matrix

Matrix

r2 - r1 r3 + r2
Matrix Operations Matrix Operations
r2 - r3 r1 + r2
Matrix Operations Matrix Operations
(-1) r2 Matrix Inverse
Matrix Operations Matrix Inverse

2

Calculate the inverse matrix by the gaussian elimination method.

Matrix

Matrix Operations

Matrix Operations

Matrix Operations

Matrix Operations

Matrix Inverse


3

Calculate the matrix inverse by determinants.

Matrix

Matrix Operations

Matrix Operations

Matrix Solution


4

For what values of m in the matrix    Matrix    does not support an inverse?

Matrix Operations

Matrix Solution

For any real value of m, there is the inverse A-1.


5

2. For what values of x in the matrix    Matrix   does the matrix inverse not support?

Matrix Operations

For x = 0 , Matrix A has no inverse.