COMEDK · Maths · 21. Matrices
The characteristic roots of the matrix \(\left[\begin{array}{ccc}1 & 0 & 0 \\ 2 & 3 & 0 \\ 4 & 5 & 6\end{array}\right]\) are
- A 1, 3, 6
- B \(1,2,4\)
- C \(4,5,6\)
- D \(2,4,6\)
Answer & Solution
Correct Answer
(A) 1, 3, 6
Step-by-step Solution
Detailed explanation
We have, \[ A=\left[\begin{array}{lll} 1 & 0 & 0 \\ 2 & 3 & 0 \\ 4 & 5 & 6 \end{array}\right] \] which is a lower triangular matrix. Since, characteristic roots of a lower triangular matrix are its diagonal elements. So, charateristics roots of \(A\) are \(1,3,6\).
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