Q. 295.0( 2 Votes )

# If A is a square matrix of order n × n such that |A| = λ, then write the value of |-A|.

Answer :

Since |kA|= k^{m}|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.

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