Beginning with our first discussion of matrix operations, we have seen matrices being used to represent mappings or transformations. For instance, the rotation matrix of Example 4.2.1 on page 67 was introduced for that purpose, and the notion of similarity of matrices in the previous section resulted from the fact that similar matrices represent the same transformation in different bases. In this section we want to explore the connections between matrices and mappings more systematically.
KeywordsVector Space Linear Transformation Standard Basis Vector Space Versus Basis Matrix
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