Describe all least-squares solutions of the equation Ax = b. A = 110 1 101 b= 01 The least-squares solutions are all vectors of the form x = (Simplify your answers.) + X3 with x3 free.

Solve thoroughly

Consider the equation z³ +64 = 0 (i) By expressing z³ + 64 as the product of 3 linear factors, solve the equation z³ +64 = 0 (ii) Let w be one of the non-real complex roots of the equation z³ +64 = 0. Show that w² hence find the value of (4w-16)³ = 4w - 16 and

The solution of the quadratic equation 5x2 + 4x + 1 = 0 are O -4+ V6 10 -4 + Vī 10 -4+ v6 15 -4+ V6 20 -4+v-4 10