Transform the matrix A=[5,−3;1,1], into a matrix B using the similarity transformation (C^−1)AC, with matrix

Question

C=[3,1;1,1].

B=(C^−1)AC = ?

Answer 1

well, C^-1 is (1/2)[1,-1;-1,3]

so just crank it out. You can check your answer here. Note the notation for matrices.

http://www.wolframalpha.com/input/?i=inverse+{{3,1},{1,1}}