Consider the matrix as given below.
Which one of the following options provides the CORRECT values of the eigenvalues of the matrix?
(A) 1, 4, 3
(B) 3, 7, 3
(C) 7, 3, 2
(D) 1, 2, 3
Answer: (A)
Explanation:
The Eigen values of a triangular matrix are given by its diagonal entries. We can also calculate (or verify given answers) using characteristic equation obtained by |M – λI| = 0.
1-λ 2 3
0 4-λ 7 = 0
0 0 3-λ
Which means
(1-λ)(4-λ)(3-λ) = 0
Quiz of this Question