## More Problems on Linear Systems and Matrices

The parabola will have the form
. The three points will be on the parabola if and only if

The existence of such a parabola translates into the consistency
of the above system. Consider the augmented matrix

Take
and
to get

Take
and
to get

Now take
to get

From here, we can conclude that the parabola does exist. To find
it, let us continue with the row elementary operations. Take
and
to get

Finally take

Hence

or .

Click on Next Problem below to go to the next problem.

**
**

**
[Next Problem]
[Matrix Algebra]
**** **
[Trigonometry]
[Calculus]
[Geometry]
[Algebra]
[Differential Equations]
[Calculus]
[Complex Variables]

S.O.S MATHematics home page

Do you need more help? Please post your question on our
S.O.S. Mathematics CyberBoard.

*Mohamed A. Khamsi*

Copyright © 1999-2019 MathMedics, LLC. All rights reserved.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour