Question

Linear Algebra
"Find necessary and sufficient conditions on the real numbers \[\lambda \] and \[\mu \] so that
the system below has
(a) no solution,
(b) a unique solution.
2x − y + 5z = 0
y + 3z = 0
\[\lambda * z \] = \[\mu \]
I understand that the first step is to put it into matrix form, however I am uncertain as to how to interpret the matrix for the conditions required?

Any help to aid my understanding would be greatly appreciated :)

Answer 1

@ghazi

Answer 2

@Jemurray3

Answer 3

@Hero can you?

Answer 4

so u got