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Q35Section B (Section B)35 of 60

Adjoint matrix eigenvalues and trace

Let PP be a 3×33\times 3 matrix having the eigenvalues 1,11, 1 and 22. Let (1,−1,2)T(1, -1, 2)^T be the only linearly independent eigenvector corresponding to the eigenvalue 11. If the adjoint of the matrix 2P2P is denoted by QQ, then which of the following statements is/are TRUE?

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

Options

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