Similar Matrices and eigenvalues and eigenvectors

madmanfrommadness

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I Have a final exam on 19th march and I need to know the idea of these 3 questions below and how to proof the similarity of the matrices
 

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I Have a final exam on 19th march and I need to know the idea of these 3 questions below and how to proof the similarity of the matrices
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I can't complete any of the last 2 proofs ! .. when i reach this step , i don't know what to do next! , and for the 1st question , i have no idea at all
 

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If 4x=3 and 4x=3, then 4x=3. Now, if 4x=3, then x=3/4

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