Question

Describe the possible echelon forms of a nonzero 2x2 matrix.

Answer 1

The possible echelon forms of a nonzero 2x2 matrix are described.

Step-by-step explanation:

The possible echelon forms of a nonzero 2x2 matrix are:

1. If the first row has all zeros and the second row has nonzero entries, the echelon form is:
2. | 0 a |
3. If the first row has a nonzero entry and the second row has all zeros, the echelon form is:
4. | 1 b |
5. If both rows have nonzero entries, the echelon form is:
6. | 1 c |

where a, b, and c represent nonzero entries in the matrix.