DSE 2013 Q

[SoniaKapoor]

25. Consider the following functions. f : R2 to R3 defned by
f(x; y) = (x + 2y, x - y,-2x + 3y). And g : R2 to R2 by g(x, y) =
(x + 1, y + 2). Then
(a) Both f and g are linear transformations.
(b) f is a linear transformation, but g is not a linear transformation.
(c) f is not a linear transformation, but g is a linear transformation
(d) Neither f nor g is a linear transformation.

[Dreyfus]

q35lt01.jpgq35lt02.jpg

[SoniaKapoor]

N WT ABT FUNCTION F?

[Dreyfus]

Fr f(x,y) both conditions are satisfied therefore its linear transformation but g(x,y) isn't

[mrittik]

1st one is Linear Transformation but second one is monotonic transformation