How do you solve the system #x+y+z=1#, #2x-y+2z=-1#, and #-x-3y+z=1#?
2 Answers
The solution is
Explanation:
Perform the Gauss- Jordan Elimination on the Augmented Matrix
The pivot is in the first column and first row
Eliminate the first column
Make the pivot in the second row of the second column
Eliminate the second column
Make the pivot in the third column
Eliminate the third column
The solution is
Explanation:
Given equations:
Adding (1) & (2), we get
Multiplying (1) by
subtracting (4) from (5) as follows
Setting
Now, setting
Hence, we get