Question

Find a sequence of elemantary matrices that can be used to write the mateix in row-echelon form

Answer 1

To write a matrix in row-echelon form, we can use a sequence of elementary matrices obtained by performing elementary row operations on the identity matrix.

Step-by-step explanation:

In order to write a matrix in row-echelon form, we can use a sequence of elementary matrices. Elementary matrices are obtained by performing elementary row operations on the identity matrix. The three types of elementary row operations are:

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

By performing these operations on the given matrix, we can transform it into row-echelon form. Keep in mind that the order in which the operations are performed can affect the resulting elementary matrices.