JEE Main2007MathematicsMatricesActual
Let A= [ array ccc 5 & 5 & 0 & & 5 0 & 0 & 5 array ] . If |A^2 |=25 , then | | equals
Options
- A5^2
- B1
- C1 / 5
- D5
Correct answer
C. 1 / 5
Step-by-step solution
A ^2= [ array ccc 5 & 5 & 0 & & 5 0 & 0 & 5 array ] [ array ccc 5 & 5 & 0 & & 5 0 & 0 & 5 array ] A ^2= [ array ccc 25 & 25 +5 ^2 & 5 +25 ^2+5 0 & ^2 & 5 ^2+25 0 & 0 & 25 array ]625 ^2=25 | |= 1 5 .