Understanding Matrices and Transformations

If A = , apply the transformation R1R2 on A.

If A = , apply the transformation C1C1 + 2C3.

If A = , apply R1R2 and then C1C1 + 2C3 on A.

Apply the given elementary transformation on each of the following matrices. 1. A = , R1R2. 2. B = R1R1 - R2. 3. A = , C1C2; B = R1R2. What do you observe?

A = , 2C2 B = , -3R1. Find the addition of the two new matrices.

A = , 3R3 and then C3 + 2C2.

A = , C3 + 2C2 and then 3R3. What do you conclude from ex. 5 and ex. 6?

Use suitable transformation on to convert it into an upper triangular matrix.

Convert into an identity matrix by suitable row transformations.

Transform into an upper triangular matrix by suitable column transformations.