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 />

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