inverse matrix

  • 61Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …

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  • 62Logarithm of a matrix — In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus a generalization of the scalar logarithm and in some sense an inverse function of the matrix… …

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  • 63Drazin inverse — In mathematics, the Drazin inverse, named after Michael P. Drazin, is a kind of generalized inverse of a matrix. Let A be a square matrix. The index of A is the least nonnegative integer k such that rank(Ak+1) = rank(Ak). The Drazin inverse of A… …

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  • 64Binomial inverse theorem — In mathematics, the binomial inverse theorem is useful for expressing matrix inverses in different ways.If A, U, B, V are matrices of sizes p × p , p × q , q × q , q × p , respectively, then:left(mathbf{A}+mathbf{UBV} ight)^{ 1}=mathbf{A}^{ 1}… …

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  • 65Nonnegative matrix — A nonnegative matrix is a matrix in which all the elements are equal to or greater than zero A positive matrix is a matrix in which all the elements are greater than zero. The set of positive matrices is a subset of all non negative matrices. A… …

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  • 66Covariance matrix — A bivariate Gaussian probability density function centered at (0,0), with covariance matrix [ 1.00, .50 ; .50, 1.00 ] …

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  • 67Block matrix — In the mathematical discipline of matrix theory, a block matrix or a partitioned matrix is a matrix broken into sections called blocks. Looking at it another way, the matrix is written in terms of smaller matrices.[1] We group the rows and… …

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  • 68Pseudo-inverse — Pour les articles homonymes, voir Inverse (homonymie). En mathématiques, et plus précisément en algèbre linéaire, la notion de pseudo inverse (ou inverse généralisé) généralise celle d’inverse d’une application linéaire ou d’une matrice[1] aux… …

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  • 69Multiplicative inverse — The reciprocal function: y = 1/x. For every x except 0, y represents its multiplicative inverse. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the… …

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  • 70Square root of a matrix — In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product B · B is equal to A.[1] Contents 1 Properties 2 Computation methods …

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