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Matrix Inversion by Gauss-Jordan Elimination

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GE 120 Lecture overheads<br />

Overhead 8 of 16<br />

⎥⎥⎥<br />

⎦<br />

⎤<br />

⎢⎢⎢<br />

⎣<br />

⎡<br />

⎥⎥⎥<br />

⎦<br />

⎤<br />

⎢⎢⎢<br />

⎣<br />

⎡<br />

−<br />

−<br />

168<br />

1<br />

168<br />

13<br />

168<br />

17<br />

0<br />

1<br />

2<br />

3<br />

0<br />

0<br />

1<br />

1<br />

0<br />

0<br />

2<br />

29<br />

1<br />

0<br />

5<br />

4<br />

2<br />

3<br />

2<br />

2<br />

3<br />

1<br />

1<br />

2<br />

29<br />

5<br />

R<br />

R<br />

R<br />

R<br />

R<br />

R<br />

−<br />

→<br />

′<br />

−<br />

→<br />

′<br />

⎥⎥⎥<br />

⎦<br />

⎤<br />

⎢⎢⎢<br />

⎣<br />

⎡<br />

−<br />

−<br />

−<br />

−<br />

⎥⎥⎥<br />

⎦<br />

⎤<br />

⎢⎢⎢<br />

⎣<br />

⎡<br />

−<br />

−<br />

168<br />

1<br />

168<br />

13<br />

168<br />

17<br />

336<br />

29<br />

336<br />

41<br />

336<br />

11<br />

168<br />

5<br />

168<br />

65<br />

168<br />

83<br />

1<br />

0<br />

0<br />

0<br />

1<br />

0<br />

0<br />

4<br />

2

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