Step-by-step explanation: need to find a basis for the solutions to the equation Ax = 0. To do ... From this we can read the general solution, x = ⎡. ⎢ ... two vectors are clearly not multiples of one another, they also give a basis. So ... 4.4.14 The set B = {1 − t2,t − t2,2 − 2t + t2} is a basis for P2. ... x1(1 − t2) + x2(t − t2) + x3(2 − 2t + t2)=3+ t − 6t2.
