Question:-
For the set of equations, x1 + 2x2 + x3 + 4x4 = 2 and 3x1 + 6x2 + 3x3 + 12x4 = 6 The following statement is true
Option (A)
Only the trivial solution x1 = x2 = x3 = x4 = 0 exists
Option (B)
There are no solutions
Option(C)
A unique non-trivial solution exists
Option(D)
Multiple non-trivial solutions exist
Correct Option:
(D)
Question Solution:
Since there are only two constraints and there are four variables there will be multiple non trivial solutions.
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