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`

The number of 2 x 2 matrices A such that all entries are either 1 or 0 is

" The number of "3times3" skew symmetric matrices A whose entries are chosen from "(-1,0,1)" and for which the system "A[[x],[y],[z]]=[[0],[0],[0]]" has infinite solution is "

Let A be the set of all 3xx3 matrices of whose entries are either 0 or 1. The number of elements is set A, is

Let A be the set of all 3xx3 symmetric matrices all of whose either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices A in A for which the system of linear equations A[(x),(y),(z)]=[(1),(0),(0)] has a unique solution is

The number of all possible matrices of order 3xx 3 with each entry 0 or 1 is