KCET2015MathematicsIndefinite Integration
If ( A= [ array cc 0 & 1 1 & 0 array ] ), then ( A² ) equal to
Options
- A( [ array ll 0 & 1 1 & 0 array ] )
- B( [ array ll 1 & 0 1 & 0 array ] )
- C( [ array ll 1 & 0 0 & 1 array ] )
- D( [ array ll 0 & 1 0 & 1 array ] )
Correct answer
C. ( [ array ll 1 & 0 0 & 1 array ] )
Step-by-step solution
Given that ( A= [ array ll 0 & 1 1 & 0 array ] ) Now, ( A A=A²= [ array ll 0 & 1 1 & 0 array ] [ array ll 0 & 1 1 & 0 array ] ) ( = [ array ll 0+1 & 0+0 0+0 & 1+0 array ]= [ array ll 1 & 0 0 & 1 array ] ) Therefore ( A²=I )