# Quadratic Surface : Expressing in New and Old Coordinate Systems

Sketch the following quadratic surface, showing the old and new coordinate systems, and identify it:

Please see attachment for fully formatted equation.

3(x1)^2 + 2x1x2 + 2x1x3 + 4x2x3 = 12.

See the attached file.

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#### Solution Summary

A quadratic surface is found using matrices. The solution is well presented. A 3-D graph is included.

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