Find the coordinate vector [x] of x relative to the given basis B = 1 --[-]>-[-|--[-2] b = 5 b 3 [X]B 18 (Simplify your answers.) X= 5 12 {b,b}. Find the coordinate vector [x] of x relative to the given basis B = [x] B = = 1 -1 3 b (Simplify your answers.) 4 - 3 - 12 b3 = 2 -2 4 X = 1 27 {b,b2,b3}. Find the change-of-coordinates matrix from B to the standard basis in R. - 2 1 - 4 - 3 HBB) { Pa-188 B= Use an inverse matrix to find [x] for the given x and B. 3 5 {-2][*] [ - 3 B = [X]B 18 3 - 2 The set B = = {1 + t,2t+t,1 t+t} is a basis for P Find the coordinate vector of p(t) = 2 + 12t + 7t relative to B. 2. [P]B (Simplify your answers.) Find the change-of-coordinates matrix from B to the standard basis in Rn. B= PB = 4 3 7 - 3 O 5 3 4