Hi there. Please help me this problem. I was so worried about it. Thank you.

Let A, B are matrices such that . Prove that A, B are similar if and only if .

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- April 4th 2012, 12:25 AMmahefoSimilarity matrices
Hi there. Please help me this problem. I was so worried about it. Thank you.

Let A, B are matrices such that . Prove that A, B are similar if and only if . - April 7th 2012, 12:27 PMHavenRe: Similarity matrices
The forward direction is a direct application of the definition of similar. That is there is an invertible matrix U, such that

for the converse, consider a change of basis matrix, (is this matrix invertible and why?)