Passage question

00:00Est. 1 min

Marks+1.000.00

Passage

Based on the above data, answer the given subquestions.

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

is a linear transformation given by

T(2,1)=(-1,-3)

and

T(1,2)=(-5,0)

. The matrix representation of

T

with respect to the standard ordered basis

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

is

\begin{bmatrix}a&c\b&d\end{bmatrix}

.

Question

Find the value of

a

.

ComprehensionEasy Difficulty24 March 2024

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