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2. Linear algebra - Wikipedia

   en.wikipedia.org/wiki/Linear_algebra

   Concerning general linear maps, linear endomorphisms, and square matrices have some specific properties that make their study an important part of linear algebra, which is used in many parts of mathematics, including geometric transformations, coordinate changes, quadratic forms, and many other parts of mathematics.

3. Khan Academy - Wikipedia

   en.wikipedia.org/wiki/Khan_Academy

   Khan Academy is an American non-profit [3] educational organization created in 2006 by Sal Khan. [1] Its goal is to create a set of online tools that help educate students. [ 4 ] The organization produces short video lessons. [ 5 ]

4. Rank–nullity theorem - Wikipedia

   en.wikipedia.org/wiki/Rank–nullity_theorem

   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 ).

5. Outline of linear algebra - Wikipedia

   en.wikipedia.org/wiki/Outline_of_linear_algebra

   1 Linear equations. 2 Matrices. 3 Matrix decompositions. 4 Relations. 5 Computations. 6 Vector spaces. 7 Structures. ... This is an outline of topics related to ...

6. Gilbert Strang - Wikipedia

   en.wikipedia.org/wiki/Gilbert_Strang

   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.

7. Linear equation - Wikipedia

   en.wikipedia.org/wiki/Linear_equation

   The functions whose graph is a line are generally called linear functions in the context of calculus. However, in linear algebra, a linear function is a function that maps a sum to the sum of the images of the summands. So, for this definition, the above function is linear only when c = 0, that is when the

8. LU decomposition - Wikipedia

   en.wikipedia.org/wiki/LU_decomposition

   LU decomposition on Math-Linux. LU decomposition at Holistic Numerical Methods Institute; LU matrix factorization. MATLAB reference. Computer code. LAPACK is a collection of FORTRAN subroutines for solving dense linear algebra problems; ALGLIB includes a partial port of the LAPACK to C++, C#, Delphi, etc. C++ code, Prof. J. Loomis, University ...

9. Basis (linear algebra) - Wikipedia

   en.wikipedia.org/wiki/Basis_(linear_algebra)

   Instructional videos from Khan Academy Introduction to bases of subspaces; Proof that any subspace basis has same number of elements "Linear combinations, span, and basis vectors". Essence of linear algebra. August 6, 2016. Archived from the original on 2021-11-17 – via YouTube. "Basis", Encyclopedia of Mathematics, EMS Press, 2001 [1994]