Question

If A is a square matrix of order n × n such that  \[|A| = \lambda\] , then write the value of |−A|.

Answer 1

\[\left| A \right| = \lambda \left[\text{ Order of A is n }\right]\] 
\[ \Rightarrow \left| - A \right| = \left( - 1 \right)^n \left| A \right| = \left( - 1 \right)^n \lambda\]