Question 22 of 62

Passage question

00:00Est. 3 min

Marks+2.000.00

Passage

Let

T:\mathbb{R}^2\to\mathbb{R}^2

be a linear transformation such that

A=\begin{bmatrix}3&1\\0&2\end{bmatrix}

is the matrix representation of

T

with respect to the ordered basis

\{(1,1),(1,-1)\}

for the domain and the standard ordered basis

\{(1,0),(0,1)\}

for the codomain. Answer the subquestions.

Question

Which matrix represents

T

with respect to the standard ordered basis for both the domain and codomain?

ComprehensionMedium Difficulty04 August 2024