Define a function t : r3 -> r2 by
t(x; y; z) = (x + y + z; x + 2y-3z):
(1) show that t is a linear transformation.
(2) find all vectors in the kernel of t.
(3) show that t is onto.
(4) find the matrix representation of t relative to the standard basis
of r3 and r2.

i think the answer is b.

step-by-step explanation:

not 100% sure though.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )