MHT CET202013 Oct 2020Morning ShiftMathematicsMatricesActual
If A= [ array lll 1 & 2 & i 1 & 1 & 1 1 & 1 & 0 array ] , then [ adj ( adj A)]⁻¹=
Options
- AA²
- B2 ~A
- CA ⁻¹
- DI
Correct answer
C. A ⁻¹
Step-by-step solution
We have |A|= [ array lll 1 & 2 & 1 1 & 1 & 1 1 & 1 & 0 array ] =1(0-1)-2(0-1)+i(0) =-1+2=1 aligned Adj(Adj A) &=|A|^ n-2 A Now [adj (adj A)] ⁻¹ &= [|A|^ p-2 A ]⁻¹ &= [(1)³⁻² A ]⁻¹=A⁻¹ aligned