Question

Find a basis of the subspace R^4 consisting of all vectors of the form [x1, -8x + 1, -8x1 - 3x2, -2x1 - 6x2]'. Find a basis of the subspace R^4 defined by the equation 4x1 - 7x2 - 6x2 - 7x4 = 0. Find a basis of the subspace of R^3 defined by the

Answer 1

n = {(x1,x2,...,xn) : xi ∈ R for all 1 ≤ i ≤ n}. The Cartesian ... of the form f(x) = 0 and attempt to determine the solution set of the equation. ...... c1x2 + c2(6x2 − 1) + c3(2x2 + ...