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(Submitted: Steve Hutchinson - seh38)
=Performance Task: About the Matrix=

This is a fun, authentic task (maybe for car rebuilders) in using a prepared system of equations to model and solve a real-world situation.

This performance task (PT) would be used at the conclusion of a week's unit study on matrices and systems of equations.

The anticipated values in this PT are:
 * 1) Presents an authentic application
 * 2) Shows that multiple (matrix) methods can be used to produce the same result (answer)
 * 3) Illustrates that problems in 3 or 4 dimensions are quite possible using Cramer's rule and Row Operations.
 * 4) Shows the equivalent role of the Identity matrix in fhe solution methods - that are quite different.
 * 5) Illustrates that one could (should) use both methods to cross check the results, especially when the procedures are complex, and error prone. Since both Cramer's and Row Operations are relatively managable, using both will build confidence in the student.
 * 6) Illustrates how relying on the graphic calculator, or online matrix solver may be used to find correct or non-sensical answers if used without external verificaiton.