Suppose T Rn right arrow Rn is an invertible linear transfor

Suppose T: R^n right arrow R^n is an invertible, linear transformation with standard matrix A. what can you say about the reduced echelon form of A? Explain without using the IMT.

Solution

Since A is invertible matrix when we reduced it to reduced echelon form it will be come Identity matrix by applying tansfomation on A.

Therefore Reduced echelon form of A= I(identity matrix.)