Let the sum of all elements of nonsingular matrix a be 2, then the matrix (1 / 3A ^ 2) ^ - 1 has an eigenvalue equal to () (a) 4 / 3; (b) 3 / 4;

Let the sum of all elements of nonsingular matrix a be 2, then the matrix (1 / 3A ^ 2) ^ - 1 has an eigenvalue equal to () (a) 4 / 3; (b) 3 / 4;

The sum of elements in each line of a is 2, which means that a (1,1,..., 1) ^ t = 2 (1,1,..., 1)
That is, 2 is the eigenvalue of A
So 4 is the eigenvalue of a ^ 2
So 4 / 3 is the eigenvalue of 1 / 3A ^ 2
So 3 / 4 is the eigenvalue of (1 / 3A ^ 2) ^ - 1
(B) Right