Linear Algebra

1:

The system of linear equations
(4d - 1)x +y + z = 0
- y + z = 0
(4d - 1) z = 0
has a non-trivial solution, if d equals

A.

1/2

B.

1/4

C.

3/4

D.

1

 

Answer : B

Explanation :

The system of homogeneous linear equations has a non-trivial solution if

 
4d-1 1 1
0 -1 1
0 0 4d-1
 
= 0

=> -(4d-1)2 = 0

=> d = 1/4

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Option: A

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