Consider the matrix as given below:

M = [[1, 2, 3],[0, 4, 7],[0, 0, 3]]

Which one of the following options provides th...

Question

Consider the matrix as given below:

M = [[1, 2, 3],[0, 4, 7],[0, 0, 3]]

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

Accepted Answer

A. 1, 4, 3 For an upper (or lower) triangular matrix, the eigenvalues are simply the diagonal entries. This is a fundamental property: the characteristic polynomial factors as a product of (diagonal_entry - lambda) terms, so the roots are exactly the diagonal elements.

Consider the matrix as given below: M = [[1, 2, 3],[0, 4, 7],[0, 0, 3]] 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