9. Let and B 3 = {[B]-[-2]} = B' ={[2¹].[6]} be two ordered bases for R². Find the change of basis matrix [I]B'.

Let B={(1, 0), (0, 1)} and B'= {(1, 2), (2, 3)} be any two bases of R². Then verify PT],P= [T], where T(x, y)=(2x-3y, x +y) and P is the B'> transition matrix from B to B'.

Find the matrix A' for T relative to the basis B'. T: R² A' = R², T(x, y) = (x + y, 3y), B' = {(-4, 1), (1, -1)}

2 [H] a) Treating u, v', and w' as vectors, are the following inner products defined? (i) u. v' 6) (True/False) Let u = (ii) v'. u (iii) u - w' v' = [1 3 2], and w' = [5 -1 -1]. b) Treating u, v', and w' as matrices, are the following matrix products defined? (i) uv' (ii) v'u (iii) uw'