A linear transformation T is defined by T: (x,y) → (...
A linear transformation T is defined by T: (x,y) → (3x - y, x + 4y). Find the image of (2, -1) under T.
(7, -2)
(5, -2)
(-2, 7)
(-7, 2)
Correct answer is A
Let (x1, y1) be the image of the point (x, y) under the given transformations.
x1 = 3x - y
y1 = x + 4y
|3−114||xy=||x1y1|
|3−114||21=||7−2|
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