Q. A 3 × 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is .
Sol:
Given that, Eigen values of a matrix
λ1 = 1, λ2 = 2, λ3 = 5
From the property of Eigen values,
Determinant of a matrix = product of its Eigen values
⇒ Determinant = λ1 λ2 λ3 = (1) (2) (5) = 10
![Determine the correctness (or otherwise) of the following Assertion [A] and the Reason [R]](https://www.gkseries.com/blog/wp-content/uploads/2023/10/Determine-the-correctness-or-otherwise-of-the-following-Assertion-A-and-the-Reason-R.jpg)
