Passage question

00:00Est. 2 min

Marks+2.000.00

Passage

Let

V=\left\{\begin{bmatrix}x&-x\y&-y\end{bmatrix}:x,y\in\mathbb{R}\right\}

and

T:V\to\mathbb{R}^3

be the linear transformation given by

T\left(\begin{bmatrix}x&-x\y&-y\end{bmatrix}\right)=(x,y,x+y)

. Based on this information, answer the given subquestions.

Question

Choose the correct option from the following.

ComprehensionMedium Difficulty24 March 2024