Question

The determinant of the matrix whose eigen values are 6, 4, 3 is given by ___________

(a) 3

(b) 24

(c) 72

(d) 13

I have been asked this question in quiz.

This intriguing question originated from Variable Treated as Constant topic in portion Partial Differentiation of Engineering Mathematics

Answer 1

Right choice is (b) 24

To elaborate: The product of the eigen values of a matrix gives the determinant of the matrix,

Therefore, ∆ = 72.