Q. 505.0( 1 Vote )

# State True or False for the statements

|A^{-1}| ≠ |A|^{-1}, where A is non-singular matrix.

Answer :

False

Given A is non-singular matrix.

__We know that AA ^{-1} = I.__

⇒|A||A^{-1}| = 1

∴ |A^{-1}| = 1/|A| = |A|^{-1}

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