Question

By using row operations calculate the inverse of 1 0 1 -3 1 -2 1 0 -1

Answer 1

To calculate the inverse of a matrix using row operations, perform elementary row operations until the given matrix is transformed into the identity matrix.

Step-by-step explanation:

To calculate the inverse of a matrix using row operations, we need to perform elementary row operations until the given matrix is transformed into the identity matrix.

Let's start with the given matrix:

1 0 1

-3 1 -2

1 0 -1

We can perform row operations to transform this matrix:

• Row 2 + 3 * Row 1
• Row 3 - Row 1

After performing these row operations, we get the inverse matrix:

1 0 0

-3 1 0

-2 0 1