Question.

B1 = {( 1101),(1001),(100-1)}

B2 = {(1000),(0101),(010-1)}

Let B1 and B2 be two bases for span(B1) in M22, where usual left to right ordering is assumed.

Note: vectors shown above are 2 by 2 matrices, in order a11, a12, b11, b12 in both B1 and B2

1.) Find the transition matrix PB1_B2.

2.) Let B3 be a basis for P1, and the transition matrix from B2 to B3 given by

[ 1 1 1; 0 1 1; 001 ] ( 3 by 3 matrix, row 1, row 2, row 3)

Find A.) Transition Matrix PB1_B3

B.) Use PB2_B3 to find B3

**Subject Mathematics Linear Algebra**