Roadmap for Chapter 3
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The detailed notes
page actually makes a few good points and it has
links to four additional pages that cover the material in Chapter 3.
Those additional pages are
- A page introducing basic
concepts: entering matrices
into the calculator, displaying a matrix, adding two matrices, scalar
multiplication of a matrix, subtracting matrices, and transposing matrices.
- A page on matrix multiplication.
- A page on finding the inverse
of a square matrix.
- A page introducing two person, zero sum games
and the application of matrices to find the expected outcome and the pure strategies for the two players.
On the other hand, here is a listing of the topics covered in
Chapter 3. Later, as time permits, some of these
will be changed to hold links to web pages detailing the
specific topic.
- Matrix definition.
- Equality of matricies.
- Directly entering a matrix on the TI-83/84.
- Use the Matrix Editor on the TI-83/84.
- Matrix addition, commutative and
associative properties (introduces GNRNDM).
- The family of zero (additive identity) matrices.
- Scalar multiplication.
- Subtraction of matrices.
- Transposing matrices.
- Putting all of this together, more complex expressions.
- Matrix multiplication,
not commutative but is associative.
- The family of identity (multiplicative identity) matrices.
- Square matrices. These are matrices that have identical numbers of rows and columns.
The identity matrices we saw were all square matrices.
- Inverse matrices (The long way and, using the calculator, the short way).
- Two person, zero sum games; expected value; pure strategy. (At this time we will stay with the
earlier developed page for
two person, zero sum games.)
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©Roger M. Palay Saline, MI 48176 January, 2017