the principle used in gauss elimination method
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Answer: To explain how Gaussian elimination allows the computation of the determinant of a square matrix, we have to recall how the elementary row operations change the determinant: Swapping two rows multiplies the determinant by −1. Multiplying a row by a nonzero scalar multiplies the determinant by the same scalar.
Gauss Elimination Method
- Interchange and equation.
- Divide the equation by .
- Add times the equation to the equation.
- Add times the equation to the equation.
- Multiply the equation by.
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