Question

The determinant of the matrix

$\left[\begin{array}{cccc}1& 0& 0& 0\\ 100& 1& 0& 0\\ 100& 200& 1& 0\\ 100& 200& 300& 1\end{array}\right]$ is

• A. 100
• B. 200
• C. 1
• D. 300

Answer 1

The correct option is C 1

Determinant of upper triangular matrix, [U] or lower triangular matrix, [L] is product of leading diagonal elements.

$\therefore$ Determinant of given matrix = 1 $\times$ 1 $\times$ 1 $\times$ 1 = 1