Last Updated :
20 Jan, 2019
Two matrix P and Q is given below:
Matrix P + Q has one eigenvalue equal to 13. The sum of the other two eigenvalues is ___________ .
(A) a+b-2
(B) a+b+6
(C) a+b
(D) None of these
Answer: (D) Explanation:
Let λ
1 + λ
2 are the other two eigen values.
Sum of eigenvalues is equal to the trace of the matrix.
So, 4 + 2+b + 1+a= 13 + λ
1 + λ
2
7 + a + b= 13 + λ
1 + λ
2
Hence,
λ
1 + λ
2 = a + b – 6
Option (D) is correct.
Quiz of this Question
Share your thoughts in the comments
Please Login to comment...