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Fundamental theorem of linear algebra references on wikipedia
Fundamental_theorem_of_linear_algebra
mathematics, the fundamental theorem of linear algebra makes several statements regarding vector spaces. These may be stated concretely in terms of the rank r of an m×n matrix A and its LDU factorization:wherein P is a permutation matrix, L is a lower triangular matrix, D is a diagonal matrix, and U is an upper triangular matrix. At a more abstract level there is an interpretation that reads it in terms of a linear mapping and its transpose.
mathematics, the fundamental theorem of linear algebra makes several statements regarding vector spaces. These may be stated concretely in terms of the rank r of an m×n matrix A and its LDU factorization:wherein P is a permutation matrix, L is a lower triangular matrix, D is a diagonal matrix, and U is an upper triangular matrix. At a more abstract level there is an interpretation that reads it in terms of a linear mapping and its transpose.
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 Iastate.edu | Iowa State University | ||
