(a) B = {1+2t – t³,3+t +4t2, 6t2 + 2t3, 4 – 5t2} (b) B = {1 – 212, 2t + 3t°, 2+ 3t – 312, -1 - t+ t2 + 3t} 3. In one of your answers in (2), you should have proven some set, say B, was a basis for P3....

Extracted text: (a) B = {1+2t – t³,3+t +4t2, 6t2 + 2t3, 4 – 5t2} (b) B = {1 – 212, 2t + 3t°, 2+ 3t – 312, -1 - t+ t2 + 3t} 3. In one of your answers in (2), you should have proven some set, say B, was a basis for P3. For this basis B, determine the change of basis matrix [I]BA from the standard basis A := Also determine the change of basis matrix [1] AB from B to A. (You may find the matrices in whichever order is more convenient, but clearly say which matrix is which. And, as always, explain/show how you arrived at your answers.) : {1,t, t2, t³ } for P3 to B.