The number of `3xx3` matrices `A` whose entries are either `0or1` and for which the system `A[x y z]=[1 0 0]` has exactly two distinct solution is a. 0 b. `2^9-1` c. `168` d. `2`

The number of 3xx3 matrices A whose entries are either 0or1 and for which the system A|[x], [y ],[z]|=|[1], [0],[0]| has exactly two distinct solution is a. 0 b. 2^9-1 c. 168 d. 2

The number of 3xx3 matrices A whose entries are either 0or1 and for which the system A|[x], [y ],[z]|=|[1], [0],[0]| has exactly two distinct solution is a. 0 b. 2^9-1 c. 168 d. 2

The number of 3xx3 matrices A whose entries are either 0 or 1 and for which the system A[[xyz]]=[[00]] has exactly two distinct solution is a.0 b.2^(9)-1 c.168 d.2

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

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 :

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 "