Please explain the steps clearly and show the calculations on how you got the numbers. Thank you.

Let T : R2 + R? be defined by Let a be the standard basis for R2 and let B be the basis a) Find the change of basis matrix from a to B, [/];. b) Find the change of basis matrix from B to a, [na. c) Verify that [T]g = P-1[Tjap where P = [13.Let T : R3 - R3 be defined by 8 ac + 2y - z T = 2x - y + z Let a be the standard basis for R3, and S be the basis Find [T]B