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

How many matrices X with entries {0,1,2} are there for which sum of diagonal entries of X.X^(T) is 7?

How many 3xx3 matrices M with all integer entries are there for which the product of the diagonal entries of MM' is 5? (where M' denotes transpose of M)

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

If A=[(0,1,2),(1,2,3),(3,1,1)] , then the sum of the all the diagonal entries of A^(-1) 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 "________"

The number of matrices X with entries {0,2,3} for which the sum of all the principal diagonal elements of X.X^(T) is 28 (where X^(T) is the transpose matrix of X), is

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

How many distinct matrices exist which all four entries taken from (1,2) ?