A `3xx3` matrix is formed from {0 , 1, 2, 3} and sum of diagonal elements of `A^T A` is 9. Find number of such matrices

Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A^(2) is 1, then the possible number of such matrices is

Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A^(2) , is 1, then the possible number of such matrices is , (1) 4 (2) 1 (3) 6 (4) 12

An nxxn matrix is formed using 0,1 and -1 as its elements. The number of such matrices which are skew-symmetric, 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 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 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 "________"

Let a matrix M of order 3xx3 has elements from the set {0,1,2}. How many matrices are possible whose sum of diagonal elements is 7 of matrix M^T*M

The number of all possible symmetric matrices of order 3xx3 with each entry 1 or 2 and whose sum of diagonal elements is equal to 5, is

If A=[(3,-1),(2,0)] and B=[(2,-5),(3,1)] then sum of diagonal elements of (A+B) is

How many 3xx3 matrices M with entries from {0,1,2} are there,for which the sum of the diagonal entries of M^(T)M is 5?(A)126 (B) 198(C)162(D)135