Question

B = [b1; b2; b3; b4; b5]
with b1 = (2; 1; 1;2;2)
b2 = (0;2; 4; 5;4)
b3 = (1;4; 5; 5;4)
b4 = (5;4; 2; 3; 1)
b5 = (4; 1; 2;3;2)

Ts =

1 0 0 0 0
-2 1 0 0 0
0 1 1 0 0
0 0 1 1 0
0 0 0 0 1

[v]b=

-7.8909
1.2727
-0.8727
-0.6727
5.2545

Find the matrix representation [T]B of T with respect to B. Write down the (1; 2) and (5; 3)
entries of [T]B.
[T]B(1; 2) = [T]B(5; 3) =

Answer 1

Pbs=0.4061 -0.6788 -1.7636 0.0485 -1.3636
0.1818 0.6364 0.0909 0.4545 0.0909
-0.2485 -0.5697 0.1091 -0.3879 -0.0909
0.2182 -0.0364 -0.2909 0.1455 -0.0909
-0.1636 0.5273 1.2182 -0.1091 0.8182
Psb= 2 0 1 5 4
1 -2 -4 -4 1
1 4 5 2 2
-2 5 5 3 -3
-2 -4 -4 1 -2