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Question: what is quick way to check if a matrix 3x3...

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What is quick way to check if a matrix 3x3 or 4x4 is diagonalizable? Could you explain what is meant by "

A is diagonalizable if there are two independent eigenvectors for lambda 1,2."

Please, only answer if you can give an example as explanation as it is better for to visualise.Thank you for your help.

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