NDA2024MathematicsComplex NumberActual
If =- 1 2 +i 3 2 then what is | array ccc 1+ & 1+ ^2 & + ^2 1 & & ^2 1 & 1 ^2 & 1 array | equal to?
Options
- A0
- B^2
- C1- ^2
Correct answer
A. 0
Step-by-step solution
Suppose A = | array ccc 1+ & 1+ ^2 & + ^2 1 & & ^2 1 & 1 ^2 & 1 array | Now C ₁ C ₁+ C ₂+ C ₃ , we get aligned & A = | array ccc 2 (1+ + ^2 ) & 1+ ^2 & + ^2 (1+ + ^2 ) & & ^2 (1+ + ^2 ) ^2 & 1 ^2 & 1 array | & A = | array ccc 2(0) & 1+ ^2 & + ^2 0 & & ^2 0 & 1 ^2 & 1 array |=0 aligned . all element of C ₁ is zero .