If A is a square matrix of order n × n

Question:

If $A$ is a square matrix of order $n \times n$ such that $|A|=\lambda$, then write the value of $|-A|$.

Solution:

$|A|=\lambda \quad[$ Order of $A$ is $n]$

$\Rightarrow|-A|=(-1)^{n}|A|=(-1)^{n} \lambda$

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