Question

If T is a linear transformation from $R^{2}\rightarrow R^{2}$ defined by $T(1,-1)=(2,-4)$ and $T(1,1)=(0,2)$. Then $T(a,b)=$

• A. $(a-b,-a+3b)$
• B. $(a+b,-a+3b)$
• C. $(a-b,a+3b)$
• D. $(a-b,-a-3b)$

Hint:

Linear transformations are determined entirely by how they act on a basis.

Answer 1

The Correct Option is A