Q9Multiple correct3 Marks31 Aug 2025

Let $T: \mathbb{R}^3 \to \mathbb{R}$^$3$ be a linear transformation such that T(1, 0, 0) = $(2, -1, 1)$ and T(0, 1, 0) = $(3, 0, 1)$. Choose all suitable answers for T(0, 0, 1) such that T is invertible.

A

$(0, 0, 1)$

B

$(1, 1, 2)$

C

$(1, -2, 1)$

D

$(-4, -1, -1)$