Hi everyone.

I need to consider the following system of equations, where m belong to R is an unknown constant:

x + 2z = 1

2x + y + 3z = m

-2x + my - 5z = -3

How to write down augmented matrix of the system and transform it into reduced row echelon form.????

Is it any chance to find the value of m which the system has:

no solution,

infinitly many solutions or

unique solution???

Thank you