[" Qs.2: No.of "3times3" matrices from the set "],[{-1,0,1}" such that "tr(AA^(^^)T)" is "3]

The number of all 3times3 matrices A ,with entries from the set {-1,0,1} such that the sum of the diagonal elements of A A^(T) is 3 ,is k then (k)/(10) is

The number of all 3times3 matrices A ,with entries from the set {-1,0,1} such that the sum of the diagonal elements of A A^(T) is 3 ,is k then (k)/(10) is

The number of 3xx3 matrices with entries from the set {-1,0,1} such that the matrices symmetric nor skew symmetric is

The total number of 3 xx 3 matrices A having entries from the set {0,1,2,3} such that the sum of all the diagonal entries A ^(T)A is 9, is equal to "________"

A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1} . Find the number of matrices A such that tr(A A^T) =3 . Where tr(A) is the trace of A.

A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1} . Find the number of matrices A such that tr(AxxA^T) =3 . Where tr(A) is the trace of A.

A be set of 3times3 matrices formed by entries 0 , -1, and 1 only. Also each of 1,-1,0 occurs exactly three times in each matrix. The number of symmetric matrices with trace(A)=0 is k , then (k)/(6)=......

Let A = [[0,1,0],[1,0,0],[0,0,1]] . Then the number of 3 xx 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is _______.

Matrices of order 33 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} then probability that matrix is either symmetric or skew symmetric 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 "