Linear transformation: Find transition matrices P12, P21, P13, P31, P23, and P32.

[andymendonca]

Given ordered bases B1={(1 0 0), (0,1,0), (0,0,1)}, B2 = {(1 1 2), (-1 -1 -1), (1 2 1)} and B3 = {(1 1 0), (1 3 1), (0 1 1)}
and A = [T]B2 = //B2 is a subscript
9 -4 2
16 -7 5
8 -4 5

Find transition matrices P12, P21, P13, P31, P23, and P32. //the numbers are subscripts
Then, use those to compute matrice B = [T]B1 and C=[T]B3.

Then, find minimum polynomial for A,B, and C.

 

[Deleted member 4993]

Given ordered bases B1={(1 0 0), (0,1,0), (0,0,1)}, B2 = {(1 1 2), (-1 -1 -1), (1 2 1)} and B3 = {(1 1 0), (1 3 1), (0 1 1)}
and A = [T]B2 = //B2 is a subscript
9 -4 2
16 -7 5
8 -4 5

Find transition matrices P12, P21, P13, P31, P23, and P32. //the numbers are subscripts
Then, use those to compute matrice B = [T]B1 and C=[T]B3.

Then, find minimum polynomial for A,B, and C.

What are your thoughts?

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