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Julia Set made with desmos.com where c = -0.84 + 0.19i Γ(z) in the complex plane made with desmos 3d Desmos also offers other services: the Scientific Calculator, Four Function Calculator, Matrix Calculator, Geometry Tool, Geometry Calculator, and a 3-dimensional calculator beta.
Duplication and elimination matrices. In mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimination matrix are linear transformations used for transforming half-vectorizations of matrices into vectorizations or (respectively) vice versa.
A computer algebra system ( CAS) or symbolic algebra system ( SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The development of the computer algebra systems in the second half of the 20th century is part of the ...
A typical graphing calculator by Texas Instruments. A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calculators are programmable calculators, allowing the user ...
In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of row-wise operations performed on the corresponding matrix of coefficients. This method can also be used to compute the rank of a matrix, the determinant of a square matrix, and the inverse of ...
In mathematics, a matrix ( pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or property of such an object. For example, is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a " matrix ...
Rotation matrix. In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix. rotates points in the xy plane counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system.
The design matrix is defined to be a matrix such that (the jth column of the ith row of ) represents the value of the jth variable associated with the ith object. A regression model may be represented via matrix multiplication as. where X is the design matrix, is a vector of the model's coefficients (one for each variable), is a vector of ...