Exam Prep Info

Exam Prep Info - Exam Prep Info - Part One It is very...

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Exam Prep Info - Part One It is very important to know the "properties" of whatever we have defined in the course. Examples are the properties of matrix operations: matrix inverse, matrix transpose, matrix addition, matrix multiplication, and the multiplication of a matrix by a scalar. Other examples are the properties of the dot product and the properties above that become "axioms" for the inner product space and the vector space. For the dot product, know both the Real number version & the Complex number version. Be prepared for "unusual, non-standard" definitions of scalar multiplication, vector addition, and especially the inner product of vectors. We tested you on the midterm with such unorthodox definitions and you can expect to be so tested again. As you know, if these definitions satisfy the axioms we do have a vector space or possibly an inner product space. If the axioms are not all satisfied, we don't. Make sure you understand linear transformations, and in particular what makes a
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Exam Prep Info - Exam Prep Info - Part One It is very...

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