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Q33Section B (Section B)33 of 60

Eigenvalues of A and of A plus A squared

Let AA be a 3×33\times 3 real matrix. Suppose that 11 and 22 are characteristic roots of AA, and 1212 is a characteristic root of A+A2A+A^2. Then which of the following statements is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.