NTA Abhyas JEE Main2020MathematicsDeterminantsPractice
Let A = - 1 2 - 3 - 2 0 3 3 - 3 1 be a matrix, then A a d j A - 1 is equal to
Options
- AO 3 × 3
- B- 1 2 - 3 - 2 0 3 3 - 3 1
- CI 3
- D- 3 - 3    1    3    0 - 2 - 1    2 - 3
Correct answer
B. - 1 2 - 3 - 2 0 3 3 - 3 1
Step-by-step solution
We know that, A - 1 a d j   A - 1 =   A - 1 I 3 ⇒ A .   A - 1 a d j   A - 1 =   A - 1 A I 3 ⇒   a d j   A - 1 =   A - 1 A ⇒   A a d j   A - 1 =   A