Question

determine whether the matrix is elementary. if it is, state the elementary row operation used to produce it.

Answer 1

An elementary matrix is obtained from the identity matrix through a single elementary row operation.

Step-by-step explanation:

A matrix is considered elementary if it is obtained from the identity matrix by performing a single elementary row operation. The three elementary row operations are:

1. Swapping two rows.
2. Multiplying a row by a non-zero scalar.
3. Adding a multiple of one row to another row.

To determine if a matrix is elementary, we need to check if it can be obtained from the identity matrix through any of these row operations. If it can, we can state the specific elementary row operation that was used.