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)

How many 3xx3 matrices M with entries from {0,1,2} are there, for which the sum of the diagonal entries of M^T Mi s5? 126 (b) 198 (c) 162 (d) 135

How many 3xx3 matrices M with entries from {0,1,2} are there, for which the sum of the diagonal entries of M^T Mi s5? 126 (b) 198 (c) 162 (d) 135

How many 3xx3 matrices M with entries from {0,1,2} are there, for which the sum of the diagonal entries of M^T Mi s5? 126 (b) 198 (c) 162 (d) 135

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

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 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

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

How many entries are there in a 3xx3 matrix