Inverse matrix (part 3)
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The document summarizes the Gauss-Jordan elimination method for finding the inverse of a matrix. It provides an example of applying the elimination steps to a 3x3 matrix, which includes swapping rows, subtracting rows, and results in obtaining the identity matrix, showing the inverse was found.
Inverse matrix (part 3)
- 1. Inverse Matrix (Part 3)Gauss-Jordan Elimination
- 2. Given:1 0 10 2 11 1 11 0 00 1 00 0 1
- 3. 3rd row minus 1st row1 0 10 2 11 1 11 0 00 1 00 0 11 0 10 2 10 1 01 0 00 1 0-1 0 1Answer
- 4. Swap the 3rd row and 2nd row1 0 10 2 10 1 01 0 00 1 0-1 0 11 0 10 1 00 2 11 0 0-1 0 10 1 0
- 5. 3rd row minus 2 x 2nd row1 0 10 1 00 2 11 0 0-1 0 10 1 01 0 10 1 00 0 11 0 0-1 0 12 1 -2Answer
- 6. 1st row minus 3rd row1 0 10 1 00 0 11 0 0-1 0 12 1 -21 0 00 1 00 0 1-1 -1 2-1 0 12 1 -2Answer
- 7. Final Answer:1 0 00 1 00 0 1-1 -1 2-1 0 12 1 -2InverseMatrixIdentity Matrix
- 8. THANK YOU FOR LISTENING!