- Transpose - Wikipedia
Transposes of linear maps and bilinear forms As the main use of matrices is to represent linear maps between finite-dimensional vector spaces, the transpose is an operation on matrices that may be seen as the representation of some operation on linear maps
- In-place matrix transposition - Wikipedia
In-place matrix transposition, also called in-situ matrix transposition, is the problem of transposing an N × M matrix in-place in computer memory, ideally with O (1) (bounded) additional storage, or at most with additional storage much less than NM Typically, the matrix is assumed to be stored in row-major or column-major order (i e , contiguous rows or columns, respectively, arranged
- Transpose of a linear map - Wikipedia
Transpose of a linear map In linear algebra, the transpose of a linear map between two vector spaces, defined over the same field, is an induced map between the dual spaces of the two vector spaces The transpose or algebraic adjoint of a linear map is often used to study the original linear map This concept is generalised by adjoint functors
- NumPy - Wikipedia
NumPy In early 2005, NumPy developer Travis Oliphant wanted to unify the community around a single array package and ported Numarray's features to Numeric, releasing the result as NumPy 1 0 in 2006 [9] This new project was part of SciPy
- Row and column vectors - Wikipedia
Matrix multiplication involves the action of multiplying each row vector of one matrix by each column vector of another matrix The dot product of two column vectors a, b, considered as elements of a coordinate space, is equal to the matrix product of the transpose of a with b,
- Transformation matrix - Wikipedia
In linear algebra, linear transformations can be represented by matrices If is a linear transformation mapping to and is a column vector with entries, then there exists an matrix , called the transformation matrix of , [1] such that: Note that has rows and columns, whereas the transformation is from to
- Definite matrix - Wikipedia
In mathematics, a symmetric matrix with real entries is positive-definite if the real number is positive for every nonzero real column vector where is the row vector transpose of [1] More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is positive-definite if the real number is positive for every nonzero complex column vector where denotes the
- Change of basis - Wikipedia
A vector represented by two different bases (purple and red arrows) In mathematics, an ordered basis of a vector space of finite dimension n allows representing uniquely any element of the vector space by a coordinate vector, which is a sequence of n scalars called coordinates
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