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.
Â
1-λ   2   3
0   4-λ   7      =    0
0    0   3-λÂ
Which means
(1-λ)(4-λ)(3-λ) = 0
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