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 M be a 2 x 2 symmetric matrix with integer entries . Then , M is invertible , if

If A is a non - null diagonal matrix of order 3 such that A^(4)=A^(2) , then the possible number of matrices A are

If A is a skew-symmetric matrix of order n, then the maximum number of no-zero elements in A is

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

Let A be a square matrix of order 3 so that sum of elements of each row is 1 . Then the sum elements of matrix A^(2) is

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 M be a 2xx2 symmetric matrix with integer entries. Then M is invertible if The first column of M is the transpose of the second row of M The second row of M is the transpose of the first column of M M is a diagonal matrix with non-zero entries in the main diagonal The product of entries in the main diagonal of M is not the square of an integer

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

Let M be a 2 x 2 symmetric matrix with integer entries. Then M is invertible if (a)The first column of M is the transpose of the second row of M (b)The second row of Mis the transpose of the first olumn of M (c) M is a diagonal matrix with non-zero entries in the main diagonal (d)The product of entries in the main diagonal of Mis not the square of an integer