It is the standard matrix of the √3 2 counterclockwise rotation of R² around (0, 0) by an angle of Let A be the matrix An eigenvector of A is H]. (a) Find the eigenvalue of (Write sqrt(a) for √a.) √3 2 8. (b) What is the other eigenvalue of A? H (c) Give an eigenvector of A for this second eigenvalue. 8

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A: according to guidelines we can solved only first 3 subparts thank you   We have the eigen values of…

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Q: trix

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A: As your question contains multiple subpart, so I only first 3 subparts.

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A: Since

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A: Please note that as per bartleby guidelines, I can answer only one question.

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A: Step 1: Step 2: Step 3: Step 4:

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A: A matrix is a mathematical object containing numbers arranged in rows and columns. If the matrix…