GATE | GATE IT 2006 | Question 26
What are the eigenvalues of the matrix P given below
(A) a, a -√2, a + √2
(B) a, a, a
(C) 0, a, 2a
(D) -a, 2a, 2a
Answer: (A) Explanation: det(A-λ.I))=0
(a-λ)*[(a-λ)
2-1] -1*(a-λ)= 0
(a-λ)
3 – 2(a-λ) = 0
(a-λ)((a-λ)
2 – 2) = 0
(a-λ)(a-λ+√2)(a-λ-√2) = 0
Quiz of this Question
Last Updated :
28 Jun, 2021
Like Article
Save Article
Share your thoughts in the comments
Please Login to comment...