⎣⎡01−32−31034−645−7 1 2 −4⎦⎤
Swap rows 1 and 2
⎣⎡10−3−321043−654−7 2 1 −4⎦⎤
R3=R3+3R1
⎣⎡100−321436548 2 1 2⎦⎤
R2=R2/2
⎣⎡100−31143/26528 2 1/2 2⎦⎤
R1=R1+3R2
⎣⎡10001117/23/261128 7/2 1/2 2⎦⎤
R3=R3−R2
⎣⎡10001017/23/29/21126 7/2 1/2 3/2⎦⎤
R3=2R3/9
⎣⎡10001017/23/211124/3 7/2 1/2 1/3⎦⎤
R1=R1−17R3/2
⎣⎡10001003/21−1/324/3 2/3 1/2 1/3⎦⎤
R2=R2−3R3/2
⎣⎡100010001−1/304/3 2/3 0 1/3⎦⎤
x1−31x4=32x2=0x3+34x4=31 Solution set:
x1=32+31x4x2=0x3=31−34x4x4, free
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