( 5 points) Consider the real 2 imes 2 matrices
A=[[1,2],[0,0]],B=[[1,3],[0,0]],C=[[-1,-2],[0,0]].
Find the correct statement below:
(A) A and B are not row equivalent, and they are not similar.
(B) A and C are row equivalent, and they are similar.
(C) A and B are similar since they are similar to the same diagonal matrix D=[[1,0],[0,0]].
(D) A and B are similar, but A^(5) and B^(5) are not similar.
(E) No pair of the matrices are similar.
(5 points) Consider the real 2 2 matrices
Find the correct statement below:
(A) A and B are not row equivalent, and they are not similar.
(B) A and C are row equivalent, and they are similar.
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(C) A and B are similar since they are similar to the same diagonal matrix D :
(D) A and B are similar, but A5 and B5 are not similar.
(E) No pair of the matrices are similar.