THE GATEBOOK

Normalization Lectures

Let be a square matrix of order 3 with real entries such that determinant of is 6 and trace of is zero. If the determinant of matrix is zero, where I denote the identity matrix, then one of the eigenvalues of is _____

(A). 1

(B). 2

(C). -3

(D). 3

d is correct one because eigen value are -1,-2,3

Solution 2 :

hence answer should be option D.