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Everything about Linear algebra
Branch of mathematics
Linear algebra is the branch of mathematics concerning linear equations such as linear maps such as the following: and their representations in vector spaces and through matrices. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Linear algebraA 5-minute orientation
- Skim a recent paper: Mixed precision algorithms in numerical linear algebraInfluential work since 2022
- Pick up a classic book: Linear algebra and its applicationsThe most-reprinted book on the subject
- Read the landmark paper: Numerical Linear AlgebraCited 139 times
- Go sideways: Vector spaceA closely related topic
- Go sideways: Linear mapA closely related topic
đź“– Definitions
Noun The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
Noun an associative algebra
🏆 Landmark papers (most cited)
Numerical Linear Algebra
Homotopy linear algebra
Robust linear algebra
Matrix Analysis and Applied Linear Algebra, Numerical Linear Algebra, and Applied Numerical Linear Algebra
Applied Linear Algebra
Linear Algebra
Linear Algebra.
Linear Algebra.
🆕 Influential since 2022
đź“š Books worth reading
Linear algebra and its applicationsDavid C. Lay, Lay · 1994
Elementary linear algebraHoward Anton, Chris Rorres · 1973
Linear Algebra with ApplicationsGareth Williams · 1984
CalculusStanley I. Grossman · 1977
CalculusTom M. Apostol · 1961
Elementary linear algebraBernard Kolman, David R. Hill · 1970
Linear algebraRichard C. Penney · 1997
Linear algebra with applicationsOtto Bretscher · 1997
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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- Kernel (linear algebra) In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the part of the domain which is mapped to the zero vector of…
- Algebra representation In abstract algebra, a representation of an associative algebra is a module for that algebra. Here an associative algebra is a (not necessarily unital)…
- Trace (linear algebra) In linear algebra, the trace of a square matrix A, denoted tr(A), is defined as a sum of the elements on its main diagonal, a11+a22+⋯+ann. It is only defined…
- Bilinear form In mathematics, a bilinear form is a bilinear map V × V → K on a vector space V (the elements of which are called vectors) over a field K (the elements…
- Linear subspace In mathematics, and more specifically in linear algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector…
- Glossary of linear algebra This glossary of linear algebra is a list of definitions and terms relevant to the field of linear algebra, the branch of mathematics concerned with linear…