NDA2011MathematicsMatricesActual
If A= [ array ll & 0 1 & 1 array ] and B= [ array ll 1 & 0 2 & 1 array ] such that A^2=B , then what is the value of ?
Options
- A-1
- B1
- C2
- D4
Correct answer
B. 1
Step-by-step solution
A= [ array ll & 0 1 & 1 array ] array ll & A ^2= [ array ll & 0 1 & 1 array ] [ array ll & 0 1 & 1 array ] & A ^2= [ array cc ^2 & 0 +1 & 1 array ] array Given A ^2= I [ array cc ^2 & 0 +1 & 1 array ]= [ array ll 1 & 0 2 & 1 array ] array rrr & +1=2 & =1 . array