Which of the following statements are True or False
(AB)^–1 = A^–1.B^–1, where A and B are invertible matrices satisfying cumulative property with respect to multiplication.

False
∵ If A and B are invertible matrices then,

⇒ (AB)^-1=B^-1A^-1

101
1

Question

Which of the following statements are True or False (AB) –1 = A –1 .B –1 , where A and B are invertible matrices satisfying cumulative property with respect to multiplication.

Philoid · Accepted Answer

False

∵ If A and B are invertible matrices then,

⇒ (AB)^-1=B^-1A^-1

Which of the following statements are True or False(AB)–1 = A–1.B–1, where A and B are invertible matrices satisfying cumulative property with respect to multiplication.

Which of the following statements are True or False
(AB)^–1 = A^–1.B^–1, where A and B are invertible matrices satisfying cumulative property with respect to multiplication.