Question

how many matrices can be formed using digit 0,1,2 if order of matrix is 2?3

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Order}\mathrm{of}\mathrm{matrix}=2\times 3 \\ \mathrm{Number}\mathrm{of}\mathrm{elements}=2\times 3=6 \\ \mathrm{Each}\mathrm{place}\mathrm{can}\mathrm{have}0,1\mathrm{or}2. \\ \mathrm{So},\mathrm{each}\mathrm{place}\mathrm{can}\mathrm{be}\mathrm{filled}\mathrm{in}3\mathrm{ways}. \\ \mathrm{Thus},\mathrm{Number}\mathrm{of}\mathrm{matrices}\mathrm{can}\mathrm{be}\mathrm{formed}=3^6 \\ =729\mathrm{ANS}... \end{gathered}$$

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