Question

1. Determine whether the system 3x +2y+z=0, x-y+22=0, 4x + y + 5z = 0 possesses a
non-trivial solution​

Answer 1

Answer:

According to the given information

⇒

∣

∣

∣

∣

∣

∣

∣

∣

3

k

1

−2

−14

2

1

15

3

∣

∣

∣

∣

∣

∣

∣

∣

=0

⇒3(−42−30)+2(3k−15)+1(2k+14)=0

⇒−216+6k−30+2k+14=0

⇒8k=232

⇒k=29