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# Inverse matrix (part 3)

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### Inverse matrix (part 3)

1. 1. Inverse Matrix (Part 3)<br />Gauss-Jordan Elimination<br />
2. 2. Given:<br />1 0 1<br />0 2 1<br />1 1 1<br />1 0 0<br />0 1 0<br />0 0 1<br />
3. 3. 3rd row minus 1st row<br />1 0 1<br />0 2 1<br />1 1 1<br />1 0 0<br />0 1 0<br />0 0 1<br />1 0 1<br />0 2 1<br />0 1 0<br />1 0 0<br />0 1 0<br />-1 0 1<br />Answer<br />
4. 4. Swap the 3rd row and 2nd row<br />1 0 1<br />0 2 1<br />0 1 0<br />1 0 0<br />0 1 0<br />-1 0 1<br />1 0 1<br />0 1 0<br />0 2 1<br />1 0 0<br />-1 0 1<br />0 1 0<br />
5. 5. 3rd row minus 2 x 2nd row<br />1 0 1<br />0 1 0<br />0 2 1<br />1 0 0<br />-1 0 1<br />0 1 0<br />1 0 1<br />0 1 0<br />0 0 1<br />1 0 0<br />-1 0 1<br />2 1 -2<br />Answer<br />
6. 6. 1st row minus 3rd row<br />1 0 1<br />0 1 0<br />0 0 1<br />1 0 0<br />-1 0 1<br />2 1 -2<br />1 0 0<br />0 1 0<br />0 0 1<br />-1 -1 2<br />-1 0 1<br />2 1 -2<br />Answer<br />
7. 7. Final Answer:<br />1 0 0<br />0 1 0<br />0 0 1<br />-1 -1 2<br />-1 0 1<br />2 1 -2<br />Inverse<br />Matrix<br />Identity Matrix <br />
8. 8. THANK YOU FOR LISTENING! <br />