author: steven h weintraub

Linear Algebra for the Young Mathematician

Readers of this book will not only come away with the knowledge that the results of linear algebra are true, but also with a deep understanding of why they are true.

A Guide to Advanced Linear Algebra

... done in elementary texts, but that is most certainly the “wrong” proof as it is a manipulative proof that obscures the ideas. (1))(10): Suppose A is invertible. Let x0 D A 1b. Then Ax0 D A.A 1b/ D b so x0 is the solution of Ax D b. If ...

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