" 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 "

" The number of "3times3" symmetric matrices with "5" entries are "1" and "4" entries are o is "

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

Total number of possible symmetric matrices of order 3xx3, whose entries ' 0' or '2'

Let A be the set of all 3xx3 symetric matrices 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

Find the value of K for which the system 2x+3y-7=0 and (K-1)x+(K+2)y-3K=0 has infinite solution.