Find all values of the angle 0 (in radians, with 0 se < 2n) for which the matrix cos e -sine A = sin 0 Cos e has real eigenvalues. (Enter your answers as a comma-separated list.) rad Interpret your answer geometrically. O There are no rotations that send vectors to multiples of themselves. O The only rotations that send vectors to multiples of themselves are the identity and the 180° rotation. O The only rotation that sends vectors to multiples of themselves is the 180° rotation. O The only rotation that sends vectors to multiples of themselves is the identity rotation.

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A: We find the characteristic equation, the eigenvalues, and bases the eigenspaces of the Matrix as…

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A: To match the phase portraits of the given eigen values:

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Q: Find all values of the angle 0 (in radians, with 0 < 0 < 2n) for which the matrix cos e -sin e sin e…

A: Since you are asking multiple questions. We are answering only the first question as per our…

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A: Here the given matrix is                                        A=-8  0 8   0-3 0-3   0 2 We have to…

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Q: 2. In this course you mainly work with matrices that have real eigenvalues. But, what about the…

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A: To find A^6.

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A: to determine eigen value  matrix should satisfy the equation Ax=λx

Q: Find all values of the angle e (in radians, with o se < 2n) for which the matrix cos e -sin e sin e…

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Q: Find all values of the angle 0 (in radians, with 0 < 0 < 2N) for which the matrix cos e -sin 0 A =…

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Q: Question 12 -9 6. The eigenvalues of 1 | are and

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Q: Find all values of the angle (in radians, with 0 ≤ 0 < 2π) for which the matrix cos 8-sin 8 A = sin…

A: This is a question of transformation rotation.

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