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 ?

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 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

Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1 1]=[0 0 12] Then the sum of the diagonal entries of M is _________.

Let A be the set of all 3xx3 matrices of whose entries are either 0 or 1. The number of elements is set A, is

Let M be a 3xx3 matrix satisfying M[0 1 0]=[-1 2 3] ,M[1-1 0]=[1 1-1],a n dM[1 1 1]=[0 0 12] Then the sum of the diagonal entries of M is _________.

Let A be the set of all 3 xx 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices in A is

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

If the entries in a 3xx3 determinant are either 0 or 1, then the greatest value of their determinants is

Let A be the set of all 3xx3 skew-symmetri matrices whose entries are either -1,0,or1. If there are exactly three 0s three 1s, and there (-1)' s , then the number of such matrices is __________.