What is matrix?

  • (noun): A rectangular array of elements (or entries) set out by rows and columns.
    See also — Additional definitions below

Some articles on matrix:

Singular Value Decomposition - Applications of The SVD - Pseudoinverse
... Indeed, the pseudoinverse of the matrix M with singular value decomposition is where Σ+ is the pseudoinverse of Σ, which is formed by replacing every nonzero diagonal entry by ...
Singular Value Decomposition - Intuitive Interpretations - Rotation, Scaling, Rotation
... case in which M is just an m×m square matrix with positive determinant whose entries are plain real numbers, then U, V*, and Σ are m×m matrices of real numbers ... For instance, the figure above explains how a shear matrix can be described as such a sequence ...
Singular Value Decomposition - Example
... Consider the 4×5 matrix A singular value decomposition of this matrix is given by Notice is zero outside of the diagonal and one diagonal element is zero ... In this case, because and are real valued, they each are an orthogonal matrix and This particular singular value decomposition is not unique ...
Matrix - Other Uses
... Matrix (numismatics), a tool in coin manufacturing Matrix (printing), a mold for casting letters Multistate Anti-Terrorism Information Exchange (MATRIX), a ...
Permutation Matrix
... In mathematics, in matrix theory, a permutation matrix is a square binary matrix that has exactly one entry 1 in each row and each column and 0s elsewhere ... Each such matrix represents a specific permutation of m elements and, when used to multiply another matrix, can produce that permutation in the rows or columns of the other ...

More definitions of "matrix":

  • (noun): The formative tissue at the base of a nail.
  • (noun): An enclosure within which something originates or develops (from the Latin for womb).
  • (noun): Mold used in the production of phonograph records, type, or other relief surface.

Famous quotes containing the word matrix:

    “The matrix is God?”
    “In a manner of speaking, although it would be more accurate ... to say that the matrix has a God, since this being’s omniscience and omnipotence are assumed to be limited to the matrix.”
    “If it has limits, it isn’t omnipotent.”
    “Exactly.... Cyberspace exists, insofar as it can be said to exist, by virtue of human agency.”
    William Gibson (b. 1948)

    As all historians know, the past is a great darkness, and filled with echoes. Voices may reach us from it; but what they say to us is imbued with the obscurity of the matrix out of which they come; and try as we may, we cannot always decipher them precisely in the clearer light of our day.
    Margaret Atwood (b. 1939)

    In all cultures, the family imprints its members with selfhood. Human experience of identity has two elements; a sense of belonging and a sense of being separate. The laboratory in which these ingredients are mixed and dispensed is the family, the matrix of identity.
    Salvador Minuchin (20th century)