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The number of 3xx3 matrices a whose entr...

The number of `3xx3` matrices a whose entries are either 0 or 1 and for which the system `A [(x),(y),(z)]=[(1),(0),(0)]` has exactly two distinct solutions is

A

0

B

`2^(9)-1`

C

168

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Since, `A[(x), (y), (z)] = [(1), (0), (0)]` is linear equation in three variables and that could have only unique, no solution or infinitely many solution.
`therefore` It is not possible to have two solutions.
Hence, number of matrices A is zero.
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