Question

The characteristic roots of the matrix $\begin{bmatrix} {1}&{0} &{0}\\\ {2}&{3}& {0} \\\ {4}&{5}&{6}\\\ \end{bmatrix}$ are

• A. $1,3,6$
• B. $1,2,4$
• C. $4,5,6$
• D. $2,4,6$

Answer 1

Answer: (A)

$1,3,6$

Answer 2

Since, given matrix is a triangular matrix, so its characteristic roots are the diagonal elements. Hence, required roots are $1, 3, 6$.