Linear Algebra/Matrix Operations

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Linear Algebra
 ← Any Matrix Represents a Linear Map Matrix Operations Sums and Scalar Products → 

The prior section shows how matrices represent linear maps. A good strategy, on seeing a new idea, is to explore how it interacts with some already-established ideas. In the first subsection we will ask how the representation of the sum of two maps f+g is related to the representations of the two maps, and how the representation of a scalar product r\cdot h of a map is related to the representation of that map. In later subsections we will see how to represent map composition and map inverse.

Linear Algebra
 ← Any Matrix Represents a Linear Map Matrix Operations Sums and Scalar Products →