What are the value of k for which the system of equations:
(3k - 8)x + 3y + 3z = 0
3x + (3k - 8)y + 3z = 0
3x + 3y + (3k - 8)z = 0
has a not-trivial solution?
A. \[{\text{k}} = \frac{2}{3},\,\frac{{11}}{3},\,\frac{{10}}{3}\]
B. \[{\text{k}} = \frac{2}{3},\,\frac{{10}}{3},\,\frac{{11}}{3}\]
C. \[{\text{k}} = \frac{{11}}{3},\,\frac{{11}}{3},\,\frac{{11}}{3}\]
D. \[{\text{k}} = \frac{2}{3},\,\frac{{11}}{3},\,\frac{{11}}{3}\]
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
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