KCET2008MathematicsMatrices
If A= [ array ll 1 & 2 3 & 4 array ] , then A ⁻¹ is equal to
Options
- A- 1 2 [ array cc 4 & -2 -3 & 1 array ]
- B1 2 [ array cc 4 & -2 -3 & 1 array ]
- C[ array cc -2 & 4 1 & 3 array ]
- D[ array cc 2 & 4 1 & 3 array ]
Correct answer
A. - 1 2 [ array cc 4 & -2 -3 & 1 array ]
Step-by-step solution
Given, A = [ array ll 1 & 2 3 & 4 array ] Now, |A|=4-6=-2 aligned adj (A) &= [ array cc 4 & -2 -3 & 1 array ] A⁻¹ &= adj (A) |A| =- 1 2 [ array cc 4 & -2 -3 & 1 array ] aligned