GATE | GATE-CS-2015 (Set 2) | Question 15

The larger of the two eigenvalues of the matrix

⎡ 4   5 ⎤
⎣ 2   1 ⎦

is ____
(A) 5
(B) 6
(C) 7
(D) 8


Answer: (B)

Explanation:

The character equation for given matrix is

| 4-λ    5 | = 0
| 2     1-λ|

(4-λ)*(1-λ) - 10 = 0
λ2 - 5λ - 6 = 0
(λ+1)*(λ-6) = 0
λ = -1, 6

Greater of two Eigenvalues is 6. 


Quiz of this Question



My Personal Notes arrow_drop_up