Matrices and Determinants 1 Question 16

16. Let ω be a solution of x31=0 with Im(ω)>0. If a=2 with b and c satisfying Eq. (i) then the value of 3ωa+1ωb+3ωc is

(a) -2

(b) 2

(c) 3

(d) -3

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Answer:

Correct Answer: 16. (a)

Solution:

  1. If a=2,b=12,c=14

3ωa+1ωb+3ωc

3ω2+1ω12+3ω14=3ω2+1+3ω2=3ω+1+3ω2

=1+3(ω+ω2)=13=2



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