Let T :P3 rightarrow R3 be the linear transformation T(a0 + a 1x + a2x2 + a3x3) = Find the matrix [T]s representing T with respect to a basis B = {l,x, x2,x3}. Let p(x) = 1 - 3x - x2 + 2x3. Find the coordinate vector (p]B of p(x) with respect to B.
Show transcribed image textLet T :P3 rightarrow R3 be the linear transformation T(a0 + a 1x + a2x2 + a3x3) = Find the matrix [T]s representing T with respect to a basis B = {l,x, x2,x3}. Let p(x) = 1 - 3x - x2 + 2x3. Find the coordinate vector (p]B of p(x) with respect to B.