Read the two statements and choose the correct option.
I. $(AB)^{-1} = B^{-1}A^{-1}$ for invertible matrices $A$ and $B$ of the same order.
II. $(A')^{-1} = (A^{-1})'$ for an invertible matrix $A$ .

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Ten questions from Determinants, Adjoint & Inverse, at your own pace.

Ten questions from Determinants, Adjoint & Inverse, at your own pace.

Read the two statements and choose the correct option.I. (AB)−1=B−1A−1(AB)^{-1} = B^{-1}A^{-1}(AB)−1=B−1A−1 for invertible matrices AAA and BBB of the same order.II. (A′)−1=(A−1)′(A')^{-1} = (A^{-1})'(A′)−1=(A−1)′ for an invertible matrix AAA.