Thread: Matrix elimination:

Find the values of t for which the system of equations
x - y - 2z = -3
tx + y - z = 3t
x + 3y + tz = 13
does not
have a unique solution for x, y and z.
Show that, for one of these values of t, no solution exists and for the other values of t,
find the solution set.

Originally Posted by karldiesen

Find the values of t for which the system of equations
x - y - 2z = -3
tx + y - z = 3t
x + 3y + tz = 13
does not
have a unique solution for x, y and z.
Show that, for one of these values of t, no solution exists and for the other values of t,
find the solution set.

What have you done??? Since you titled this "Matrix elimination" you must be thinking of reducing the "augmented matrix". What is the augmented matrix? What do you get when you row-reduce it?

I don't know how to reduce it with an unknown, t!

Originally Posted by karldiesen

I don't know how to reduce it with an unknown, t!

Perhaps if you show what you have been able to do and then say where you're stuck someone might give further help.