Let Ain M4(C) be such that A^2=I and Trace(A)=0. Which of the following statements are necessarily true?

Q75Section C (Part C)75 of 120

Matrices — commuting and anticommuting with an involution

Let $A\in M_4(\mathbb{C})$ be such that $A^2=I$ and $\operatorname{Trace}(A)=0$ . 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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