Q32Section B (Section B)32 of 60

When every row adds to one

Let $A$ be a $3\times 3$ real matrix such that $A\neq I_{3}$ and the sum of the entries in each row of $A$ is $1$ . Then, which of the following statements is/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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