How Do Parabolas Relate to Gaussian Elimination?

Thread starter TheKid
Start date Sep 27, 2010
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Elimination Gaussian Gaussian elimination Parabola

In summary, a parabola is a type of curve that is created when a two-dimensional object is projected into a three-dimensional space. Gaussian elimination is a method used to solve systems of linear equations by transforming a matrix into an upper triangular form. Parabolas and Gaussian elimination are related because a parabola can be used to represent a quadratic equation, which can then be solved using Gaussian elimination. The purpose of using Gaussian elimination to solve parabolas is to provide a systematic way to find the solution to a system of equations. There is a specific order to follow when using Gaussian elimination to solve parabolas, which involves putting the equations into a matrix form and using elementary row operations to reduce it to its upper triangular form, followed

Sep 27, 2010

TheKid

Got it

Last edited: Sep 27, 2010

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Sep 27, 2010

Inferior89

You had a matrix equation and now you have it in row reduced form.

If you look at the last line of the matrix and say out loud to yourself what that row actually means you should get the answer.

Sep 27, 2010

TheKid

Thanks man, you're the ****!

Related to How Do Parabolas Relate to Gaussian Elimination?

1. What is a parabola?

A parabola is a type of curve that is created when a two-dimensional object, such as a ball, is projected into a three-dimensional space. It can also be described as the graph of a quadratic equation.

2. What is Gaussian elimination?

Gaussian elimination is a method used to solve systems of linear equations. It involves using elementary row operations to transform a matrix into an upper triangular form, making it easier to find the solution.

3. How are parabolas and Gaussian elimination related?

Parabolas and Gaussian elimination are related in the sense that a parabola can be used to represent a quadratic equation, which can then be solved using Gaussian elimination. This method is particularly useful when dealing with systems of equations involving parabolas.

4. What is the purpose of using Gaussian elimination to solve parabolas?

Gaussian elimination is used to solve parabolas because it provides a systematic way to find the solution to a system of equations. This method is often preferred over other methods, such as substitution or graphing, because it can handle more complex systems of equations.

5. Is there a specific order to follow when using Gaussian elimination to solve parabolas?

Yes, there is a specific order to follow when using Gaussian elimination to solve parabolas. This involves first putting the system of equations into a matrix form, then using elementary row operations to reduce the matrix to its upper triangular form. From there, the solution can be easily found by back substitution.