Notes on basis changes and matrix diagonalization
نویسنده
چکیده
Let V be an n-dimensional real (or complex) vector space. Vectors that live in V are usually represented by a single column of n real (or complex) numbers. Linear operators act on vectors and are represented by square n×n real (or complex) matrices. If it is not specified, the representations of vectors and matrices described above implicitly assume that the standard basis has been chosen. That is, all vectors in V can be expressed as linear combinations of basis vectors:
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