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The number of all possible matrices of o...

The number of all possible matrices of order `3 xx3` with each entry `0` or `1` is:

A

`27`

B

`28`

C

`81`

D

`512`

Text Solution

Verified by Experts

The correct Answer is:
D
Number of elements in a matrix of order `3xx3=9`
Number of ways of selecting each element = 2(0 or 1)
`therefore ` Number of ways of selecting 9 elements `=2^(9)=512`
`implies ` Number of matrices = 512
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