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Question

Let Δ=∣ ∣a11a12a13a21a22a23a31a32a33∣ ∣ and apq=ip+q where i=1. The value of Δ is

A
real and positive
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B
real and negative
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C
0
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D
imaginary
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Solution

The correct option is A 0
=∣ ∣a11a12a13a21a22a23a31a32a33∣ ∣&apq=ip+q
=∣ ∣ ∣i2i3i4i3i4i5i4i5i6∣ ∣ ∣=i2+3+4∣ ∣ ∣111iiii2i2i2∣ ∣ ∣
=i∣ ∣111iii111∣ ∣=i∣ ∣111iii111∣ ∣
=0
Hence, option 'C' is correct.

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