Question

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.

3x - 2y + 2z - w = 2
4x + y + z + 6w = 8
-3x + 2y - 2z + w = 5
5x + 3z - 2w = 1

Answer 1

start by writing the system of equation as a 4x5 matrix

Answer 2

{(2, 0, -3/37 ,9/37 )}

B. {(1, -1/3 , 4/9, 6)}

C. ∅

D. {(1/2 , 0, -37/3 , 37/9 )}

Answer 3

OK WHAT DO YOU DO NEXT

Answer 4

well thats the tricky part

you have to use row calculations

like divide row 1 by 3 and multiply by 4 and subtract from row 2


and you want the matrix to look like

Answer 5

OK IM FOLLOWING

Answer 6

in the end

Answer 7

COULD IT BE C BY A CHANCE

Answer 8

that seems highly unlikely

Answer 9

its alot of work so have fun good luck