Let f : R → R3 be defined by f(x) = <4x,−3x,5x+5>. Is f a linear transformation
2 answers
since each component is linear, I'd say yes.
of course, to prove it, you'd need to show that
f(cx) = c*f(x)
f(x+y) = f(x)+f(y)
...
huh. I guess not linear.
f(cx) = c*f(x)
f(x+y) = f(x)+f(y)
...
huh. I guess not linear.