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The resulting matrix is: [ 1 -2 -2 | 6 ] [ 0 0 1 | -4 ] [ 0 0 0 | 0 ] (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is: [ 1 -2 0 | -2 ] [ 0 0 1 | -4 ] [ 0 0 0 | 0 ] Remember: This matrix must be simplified all the way to reduced form. (e) How many solutions does the system have? If infinitely many, enter "Infinity". Infinity (f) What are the solutions to the system? x1 = -2 x2 = -4 x3 = 0 Note: If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions, and the solution set describes a line (that is, if there is only one free variable), set x2 = t and solve for the remaining variables in terms of t. If there are infinitely many solutions, and the solution set describes a plane (that is, if the solution set has two free variables), set the variables x3 = t and x2 = s, and then solve for x1 in terms of s and t.

          The resulting matrix is:
[ 1 -2 -2 | 6 ]
[ 0 0 1 | -4 ]
[ 0 0 0 | 0 ]
(d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is:
[ 1 -2 0 | -2 ]
[ 0 0 1 | -4 ]
[ 0 0 0 | 0 ]
Remember: This matrix must be simplified all the way to reduced form.
(e) How many solutions does the system have? If infinitely many, enter "Infinity".
Infinity
(f) What are the solutions to the system?
x1 = -2
x2 = -4
x3 = 0
Note: If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions, and the solution set describes a line (that is, if there is only one free variable), set x2 = t and solve for the remaining variables in terms of t. If there are infinitely many solutions, and the solution set describes a plane (that is, if the solution set has two free variables), set the variables x3 = t and x2 = s, and then solve for x1 in terms of s and t.

The resulting matrix is:
[ 1 -2 -2 | 6 ]
[ 0 0 1 | -4 ]
[ 0 0 0 | 0 ]
(d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is:
[ 1 -2 0 | -2 ]
[ 0 0 1 | -4 ]
[ 0 0 0 | 0 ]
Remember: This matrix must be simplified all the way to reduced form.
(e) How many solutions does the system have? If infinitely many, enter "Infinity".
Infinity
(f) What are the solutions to the system?
x1 = -2
x2 = -4
x3 = 0
Note: If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions, and the solution set describes a line (that is, if there is only one free variable), set x2 = t and solve for the remaining variables in terms of t. If there are infinitely many solutions, and the solution set describes a plane (that is, if the solution set has two free variables), set the variables x3 = t and x2 = s, and then solve for x1 in terms of s and t.

Added by Brian C.

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