Question

For what values of `a', the following homogeneous system has a non-trivial solution?. x - 2 y + 3 z = 0, a x + 3 y + 2 z = 0, 6 x + y + a z = 0.
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Answer 1

Answer:

5,-8

Step-by-step explanation:

|A|=0,

find the mode

1 -2. 3

a. 3. 2

6. 1. a

=(3a-2)+2(a^2-12)+3(a-18)=0

=2a^2+6a-80=0

=a^2+3a-40=0

a=(5,-8)