Explain why diagonalization is the same as changing to a basis of eigenvectors, computing the linear...

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Explain why diagonalization is the same as changing to a basisof eigenvectors, computing the linear transformation with respectto this basis, and then changing back to the standard basis. Inaddition, create your own example (with specific numbers) thatillustrates your explanation. You should write in completesentences, though you can certainly have equations and symbols aspart of your sentences (and probably should).

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Given That Diagonalization is the same as changing to a basis of eigenvectors the linear transformation with respect to this basis and then changing back to the standard basis This is easier if one starts out talking about linear transformations and only later about matrices    See Answer
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