Basis maths-linear algebra-Q19

+1 vote

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

(A). 1

(B). 2

(C). -3

(D). 3

asked May 15 in Basic Maths by gbeditor (44,500 points)
reshown May 16 by gbeditor

1 Answer

+1 vote
Best answer

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


Solution 2 :


hence answer should be option D.

answered Jun 11 by deepak-gatebook (112,390 points)