Other articles related to "matrix":

Matrix - Other Uses
... Matrix (numismatics), a tool in coin manufacturing Matrix (printing), a mold for casting letters Multistate Anti-Terrorism Information Exchange (MATRIX), a database of U.S ...
Singular Value Decomposition - Applications of The SVD - Pseudoinverse
... can be used for computing the pseudoinverse of a matrix ... 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 - 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 ...
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 matrix ...
Singular Value Decomposition - Intuitive Interpretations - Rotation, Scaling, Rotation
... In the special but common 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 as well, Σ can ... For instance, the figure above explains how a shear matrix can be described as such a sequence ...

Famous quotes containing the word matrix:

    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)

    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)

    “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)