SOLUTION: Solve the system of equations using the methods of matrix row reduction. 2x+y+2z=0 4x+3y-z=1 5x-4y+3z=-41 What is the solution? Thank you.

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Question 985488: Solve the system of equations using the methods of matrix row reduction.
2x+y+2z=0
4x+3y-z=1
5x-4y+3z=-41
What is the solution?
Thank you.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!




------------------------------


Step 1: Swap row and




Step 2: Divide row by




Step 3: Subtract () from row



Step 4: Subtract ( * row ) from row




Step 5: Divide row by




Step 6:
Subtract (* row) from row



Step 7: Divide row by



Matrix is now in row echelon form
Step 8: Subtract ( * row ) from row




Step 9: Subtract ( * row ) from row



Step 10: Subtract ( * row ) from row



Matrix is now in echelon form.
solution:



check:






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