Consider the following linear transformation of ℝ³: T(x₁, x₂, x3) =(-4 ⋅ x₁ − 4 ⋅ x2 + x3, 4 ⋅ x₁ + 4 ⋅ x₂ - x3, 20 . x₁ + 20 . x₂ - 5 . x3)
(A) Which of the following is a basis for the kernel of T?
a. (No answer give)
b. {(4, 0, 16), (-1, 1, 0), (0, 1, 1)}
c. {(1, 0, -4), (-1,1,0)}
d. {(0,0,0)}
e. {(-1, 1,-5)}