Consider the function f:R4 → R3 given by f(x) = Ax, whereand the vector x in R4 is written...

Consider the function f:R⁴ → R³ given by f(x) = Ax, whereand the vector x in R⁴ is written as the 4 × 1 column matrix.

(a) Determine the component functions of f in terms of the components x₁, x₂, x₃, x₄ of the vector (i.e., column matrix) x.

(b) Describe the range of f.