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# The number of all possible matrices of order $3 \times 3$ with each entry $0$ or $1$ is:E. $27$F. $18$G. $81$H. $512$

Last updated date: 14th Mar 2023
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We’ll consider the matrix of order $3 \times 3$. Let the matrix be $A = \left[ {\begin{array}{*{20}{c}} \_&\_&\_ \\ \_&\_&\_ \\ \_&\_&\_ \end{array}} \right]$. Observe that we have $3 \times 3 = 9$ places in total and for each place we have $2$ entries i.e.$0$ or $1$.
Total number of possible matrices will be $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = {2^9} = 512$.