Question

Use Gauss-Jordan Elimination to solve the following system of equations.

−4x	+	8y	+	4z	= −4
−3x	+	6y	+	3z	= −3
x	−	2y	−	z	= 1

Answer 1

Step 1:

Given system of equation:

Step 2: Swap Row 1 and Row 3:

Step 3: Multiply 1st equation by 3 and add to 2rd equation:

Step 4: Multiply 1st equation by 4 and add to 3rd equation:

Step 5:

Since the only relation is:

This shows that the given system of equations has infinitely many solutions.