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Inverse matrix (part 3)
Inverse matrix (part 3)
Inverse matrix (part 3)
Inverse matrix (part 3)
Inverse matrix (part 3)
Inverse matrix (part 3)
Inverse matrix (part 3)
Inverse matrix (part 3)
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Inverse matrix (part 3)

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  • 1. Inverse Matrix (Part 3)<br />Gauss-Jordan Elimination<br />
  • 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. 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. 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. 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. 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. 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. THANK YOU FOR LISTENING! <br />

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