If A is a square matrix of order n × n such that |A| = λ, then write the value of |-A|.
Since |kA|= km|A|
Given that k=-1, m=n and |A|=λ, we get
|-A|=(-1)n×λ
Hence, |-A|=λ if n is even and |-A|=-λ if n is odd.