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(1-i)a+2b=0
-a-(1+i)b=0
a-(1+i)c=0
?(i^2=-1)a,b,c are parameters.compelet answer plz.

2007-06-14 12:26:17 · 3 answers · asked by liloofar 3 in Science & Mathematics Mathematics

3 answers

(1-i)a + 2b = 0 (A)
-a -(1+i)b = 0: a = -(1+i)b (B)
-(1-i)(1+i)b + 2b = 0: -(1-i)(1+i) = -2 so -2 b + 2b = 0

The problem you have is indeterminant such that any b works.
But once you select a b, a and c are determined by:
a = -2*b/(1-i)= -(1+i)b
c = a/(1+i) = -2*b/((1-i)*(1+i)) = -b

2007-06-14 12:38:24 · answer #1 · answered by telsaar 4 · 0 1

I don't think there's a unique solution. The first two equations are equivalent (the second is the first multiplied by (i-1)).

You can determine that b = -c by adding the second and third equations. And the first two equations do constrain a relative to b, but there's no single solution.

2007-06-14 19:34:02 · answer #2 · answered by McFate 7 · 1 0

Equation 2 times - (1-i) is equation 1 so your system is

dependent.

2007-06-14 19:34:01 · answer #3 · answered by knashha 5 · 0 1

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