1. (20 points) Consider the system of equations:
2x2
+3x2
+X₂
2x3
+X3
X1
2x
2
5
k
th-xz
a. (10 Points) Write the system in the form of an augmented matrix and row reduce it to echelon form.
b. (10 Points) Based on your results from part (a), fill in the appropriate value, or range of values, for the
two parameters h and k in the table according to the three possible types of solutions sets
No Solution
Unique Solution
Infinite # of Solutions
Parameter value(s)
h
k