Q17Single correct3 Marks1 Dec 2024

Let $T:\mathbb{R}^n\to\mathbb{R}^m$ be a linear transformation. Choose the correct option that guarantees that $T$ is bijective.

A

$m=n$.

B

$T$ maps a basis of $\mathbb{R}^m$ to a basis of $\mathbb{R}^n$.

C

The matrix representation of $T$ with respect to any ordered basis is square and invertible.

D

$\operatorname{rank}(T)=m$.