Let L be the linear transformation on ℝ3ℝ3 defined by L(x)=⎡⎣⎢⎢⎢2x1−x2−x32x2−x1−x32x3−x1− x2⎤⎦⎥⎥⎥ L⁡(x)=[2 x1−x2−x32 x2−x1−x32 x3−x1−x2] and let A be the standard matrix representation of L (see Exercise 4 of Section 4.2). If u1=(1,1,0)T, u2=(1,0,1)Tu1=(1,1,0)T, u2=(1,0,1)T, and u3=(0,1,1)Tu3=(0,1,1)T, then {u1,u2,u3}{u1,u2,u3} is an ordered basis for ℝ3ℝ3 and U=(u1,u2,u3)U=(u1,u2,u3) is the transition matrix corresponding to a change of basis from {u1,u2,u3}{u1,u2,u3} to the standard basis {e1,e2,e3}{e1,e2,e3}. Determine the matrix B representing L with respect to the basis {u1,u2,u3}{u1,u2,u3} by calculating U−1AUU−1 A U.