Q29Multiple correct3 Marks11 Dec 2022

Let A be the matrix representation of T with respect to a basis {(1, 1), (1, 2)} for the domain and {(1, 1), (1, -1)} for the co-domain (obtained in the previous question) and B be the matrix representation of T with respect to the standard ordered basis for $\mathbb{R}^2$ for both the domain and co-domain. Choose the correct option(s).

A

Rank of the matrix A is 2.

B

Both the systems Ax = 0 and Bx = 0 have infinitely many solutions.

C

A and B are similar matrices.

D

A and B are equivalent matrices.