representing linear maps with matrices existence uniqueness redux matrix algebra linear transformations and matrix algebra a havens department of mathematics university of massachusetts amherst february 10 16 2018 a havens ...
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...Representing linear maps with matrices existence uniqueness redux matrix algebra transformations and a havens department of mathematics university massachusetts amherst february outline the standard basis rn finding reframing via surjectivity or onto injectivity one to theorems on composition multiplication as vectors scaling addition transposition n r components revisited observe that any x can be written combination along rectangular coordinate axes using their relative this system o these two will form for elementary denition are denoted e they called hence notation ei i ordered list is span...