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William Gilbert Strang (born November 27, 1934 [1]) is an American mathematician known for his contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing mathematics textbooks.
The joint spectral radius was introduced in 1960 by Gian-Carlo Rota and Gilbert Strang, [1] two mathematicians from MIT, but started attracting attention with the work of Ingrid Daubechies and Jeffrey Lagarias. [2] They showed that the joint spectral radius can be used to describe smoothness properties of certain wavelet functions. [3]
Lay, David C. (2005), Linear Algebra and Its Applications (3rd ed.), Addison Wesley, ... a series of 34 recorded lectures by Professor Gilbert Strang (Spring 2010)
Linear Algebra With Applications (7th ed.). Pearson Prentice Hall. Strang, Gilbert (2005). Linear Algebra and Its Applications. Peng, Richard; Vempala, Santosh S ...
Leon, Steven J. (2006), Linear Algebra With Applications (7th ed.), Pearson Prentice Hall Meyer, Carl D. (February 15, 2001), Matrix Analysis and Applied Linear Algebra , Society for Industrial and Applied Mathematics (SIAM), ISBN 978-0-89871-454-8 , archived from the original on March 1, 2001
The rank–nullity theorem is a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity of M ; and the dimension of the domain of a linear transformation f is the sum of the rank of f (the dimension of the image of f ) and the nullity of f (the dimension of the kernel of f ).
In linear algebra, the adjugate or classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. [1] [2] It is occasionally known as adjunct matrix, [3] [4] or "adjoint", [5] though that normally refers to a different concept, the adjoint operator which for a matrix is the conjugate transpose.
That is, we can take the smallest closed linear subspace containing . Then S {\displaystyle S} will be an orthonormal basis of V ; {\displaystyle V;} which may of course be smaller than H {\displaystyle H} itself, being an incomplete orthonormal set, or be H , {\displaystyle H,} when it is a complete orthonormal set.
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