Q72Section C (Part C)72 of 120

Counting subspaces and linear maps over $\mathbb F_3$

Consider the field $\mathbb F_3$ consisting of $3$ elements. Let $V$ be an $\mathbb F_3$ -vector space of dimension $3$ and $W$ an $\mathbb F_3$ -vector space of dimension $2$ . Which of the following statements are 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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