Exercise 1.2.22

Question

How many matrices are there in the vector space $\mathrm{M}_{m 	imes n}\left(Z_{2}ight)$ ? (See Appendix C.)

Jephian C.-H. Lin · Accepted Answer

Since each entries could be $1$ or $0$ and there are $m	imes n$ entries, there are $2^{m	imes n}$ vectors in that space.

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