8. a)

give an example of a 3x3 homogeneous system of linear equations AX=0 which has infinitely many solutions.

how is

[000|0]

[000|0]

[000|0]

a system like this?

my teacher told me this is a cheesy answer to give if it were to appear on a final exam, but is correct.

how so? what do they mean exactly by a homogeneous system with infinitely many solutions?