Q73Section C (Part C)73 of 120

Diagonalizability — what the square of an operator reveals

Let $V$ be a finite-dimensional $\mathbb{R}$ -vector space and $T:V\to V$ a linear operator such that $T^2$ is diagonalizable over $\mathbb{R}$ . Which of the following statements are necessarily true?

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

Select every correct option, then submit.

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