Exercise 13. Determine which of the these formulas for
T:R^(3)->R^(2)
is a linear operator. If so, write the operator as a matrix multiplication and determine whether the target of
T
equals its range. Here
x=(x,y,z)
and
T(x)
follows. (a)
(x,x 2y-4z)
(b)
(x y,xy)
(c)
(y,y)
(d)
x(0,y)
(e)
(siny,cosz)