Matrix Inversion by Gauss-Jordan Elimination
Matrix Inversion by Gauss-Jordan Elimination
Matrix Inversion by Gauss-Jordan Elimination
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GE 120 Lecture overheads<br />
Overhead 14 of 16<br />
⎥⎥⎥<br />
⎦<br />
⎤<br />
⎢⎢⎢<br />
⎣<br />
⎡<br />
⎥⎥⎥<br />
⎦<br />
⎤<br />
⎢⎢⎢<br />
⎣<br />
⎡<br />
−<br />
−<br />
0.006<br />
0.077<br />
0.101<br />
0<br />
1<br />
1.5<br />
0<br />
0<br />
1<br />
1<br />
0<br />
0<br />
14.5<br />
1<br />
0<br />
5<br />
4<br />
2<br />
3<br />
2<br />
2<br />
3<br />
1<br />
1<br />
14.5<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 />
0.006<br />
0.077<br />
0.101<br />
0.087<br />
0.117<br />
0.036<br />
0.030<br />
0.385<br />
0.495<br />
1<br />
0<br />
0<br />
0<br />
1<br />
0<br />
0<br />
4<br />
2<br />
2<br />
1<br />
1 4R<br />
R<br />
R<br />
−<br />
→<br />
′<br />
⎥⎥⎥<br />
⎦<br />
⎤<br />
⎢⎢⎢<br />
⎣<br />
⎡<br />
−<br />
−<br />
⎥⎥⎥<br />
⎦<br />
⎤<br />
⎢⎢⎢<br />
⎣<br />
⎡<br />
−<br />
0.006<br />
0.077<br />
0.101<br />
0.087<br />
0.117<br />
0.036<br />
0.318<br />
0.083<br />
0.351<br />
1<br />
0<br />
0<br />
0<br />
1<br />
0<br />
0<br />
0<br />
2