Question: When Gaussian elimination is programmed for a computer (or done on an electronic calculator), one should use exchanges of equations to avoid dividing by a

When Gaussian elimination is programmed for a computer (or done on an electronic calculator), one should use exchanges of equations to avoid dividing by a coefficient that is much smaller in absolute value than the other coefficients in the equations. Explain why division by an extremely small coefficient can lead to large errors in the results.

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