The film's success led to two feature film sequels being released in 2003, The Matrix Reloaded and The Matrix Revolutions, which were also written and directed by the Wachowskis. The Matrix franchise was further expanded through the production of comic books, video games, and an animated anthology film, The Animatrix, with which the Wachowskis were heavily involved. The franchise has also inspired books and theories expanding on some of the religious and philosophical ideas alluded to in the films. A fourth film, titled The Matrix Resurrections, was released on December 22, 2021.
The Matrix belongs to the cyberpunk genre of science fiction, and draws from earlier works in the genre such as the 1984 novel Neuromancer by William Gibson.[8] For example, the film's use of the term "Matrix" is adopted from Gibson's novel,[163] though L. P. Davies had already used the term "Matrix" fifteen years earlier for a similar concept in his 1969 novel The White Room ("It had been tried in the States some years earlier, but their 'matrix' as they called it hadn't been strong enough to hold the fictional character in place").[164] After watching The Matrix, Gibson commented that the way that the film's creators had drawn from existing cyberpunk works was "exactly the kind of creative cultural osmosis" he had relied upon in his own writing;[8] however, he noted that the film's Gnostic themes distinguished it from Neuromancer, and believed that The Matrix was thematically closer to the work of science fiction author Philip K. Dick, particularly Dick's speculative Exegesis.[8] Other writers have also commented on the similarities between The Matrix and Dick's work;[155][165][166] one example of such influence is a Philip K. Dick's 1977 conference, in which he stated: "We are living in a computer-programmed reality, and the only clue we have to it is when some variable is changed, and some alteration in our reality occurs".[167][168][169][170]
In The Matrix, a copy of Jean Baudrillard's philosophical work Simulacra and Simulation, which was published in French in 1981, is visible on-screen as "the book used to conceal disks",[7][44] and Morpheus quotes the phrase "desert of the real" from it.[171] "The book was required reading"[7] for the actors prior to filming.[44][172] However, Baudrillard himself said that The Matrix misunderstands and distorts his work.[171][173] Some interpreters of The Matrix mention Baudrillard's philosophy to support their claim "that the [film] is an allegory for contemporary experience in a heavily commercialized, media-driven society, especially in developed countries".[7] The influence of The Matrixial Gaze, the philosophical-psychoanalytical concept of Bracha L. Ettinger on the archaic matrixial space that resists the field of simulacra,[174][175][176] "was brought to the public's attention through the writings of art historians such as Griselda Pollock and film theorists such as Heinz-Peter Schwerfel".[177][7] In addition to Baudrillard and Ettinger, the Wachowskis were also significantly influenced by Kevin Kelly's Out of Control: The New Biology of Machines, Social Systems, and the Economic World, and Dylan Evans's ideas on evolutionary psychology.[16]
Also released was The Animatrix, a collection of nine animated short films, many of which were created in the same Japanese animation style[214] that was a strong influence on the live action trilogy. The Animatrix was overseen and approved by the Wachowskis, who only wrote four of the segments themselves but did not direct any of them; much of the project was developed by notable figures from the world of anime.[214]
In ancient Rome, a matrix was a female animal kept for breeding, or a plant (sometimes called a "parent plant" or "mother plant") whose seeds were used for producing other plants. In English the word has taken on many related meanings. Mathematicians use it for a rectangular organization of numbers or symbols that can be used to make various calculations; geologists use it for the soil or rock in which a fossil is discovered, like a baby in the womb. And matrix was a good choice as the name of the reality in which all humans find themselves living in a famous series of science-fiction films.
A rich hierarchy of sparse and dense matrix classes,including general, symmetric, triangular, and diagonal matriceswith numeric, logical, or pattern entries. Efficient methods foroperating on such matrices, often wrapping the 'BLAS', 'LAPACK',and 'SuiteSparse' libraries.
The RDoC Matrix is a component of the larger RDoC Framework. It is a tool to help implement the principles of RDoC. Before you utilize the RDoC matrix in your study, please read more about the Framework on the About RDoC page. Also, read these notes first if you are new to the RDoC Matrix.
A matrix is a concise and useful way of uniquely representing and working with linear transformations. In particular, every linear transformation can be represented by a matrix, and every matrix corresponds to a unique linear transformation. The matrix, and its close relative the determinant, are extremely important concepts in linear algebra, and were first formulated by Sylvester (1851) and Cayley.
In his 1851 paper, Sylvester wrote, "For this purpose we must commence, not with a square, but with an oblong arrangement of terms consisting, suppose, of lines and columns. This will not in itself represent a determinant, but is, as it were, a Matrix out of which we may form various systems of determinants by fixing upon a number , and selecting at will lines and columns, the squares corresponding of th order." Because Sylvester was interested in the determinant formed from the rectangular array of number and not the array itself (Kline 1990, p. 804), Sylvester used the term "matrix" in its conventional usage to mean "the place from which something else originates" (Katz 1993). Sylvester (1851) subsequently used the term matrix informally, stating "Form the rectangular matrix consisting of rows and columns.... Then all the determinants that can be formed by rejecting any one column at pleasure out of this matrix are identically zero." However, it remained up to Sylvester's collaborator Cayley to use the terminology in its modern form in papers of 1855 and 1858 (Katz 1993).
In his 1867 treatise on determinants, C. L. Dodgson (Lewis Carroll) objected to the use of the term "matrix," stating, "I am aware that the word 'Matrix' is already in use to express the very meaning for which I use the word 'Block'; but surely the former word means rather the mould, or form, into which algebraical quantities may be introduced, than an actual assemblage of such quantities...." However, Dodgson's objections have passed unheeded and the term "matrix" has stuck.
An matrix consists of rows and columns, and the set of matrices with real coefficients is sometimes denoted . To remember which index refers to which direction, identify the indices of the last (i.e., lower right) term, so the indices of the last element in the above matrix identify it as an matrix. Note that while this convention matches the one used for expressing measurements of a painting on canvas (where height comes first then width), it is opposite that used to measure paper, room dimensions, and windows, (in which the width is listed first followed by the height; e.g., 8 1/2 inch by 11 inch paper is 8 1/2 inches wide and 11 inches high).
A matrix is said to be square if , and rectangular if . An matrix is called a column vector, and a matrix is called a row vector. Special types of square matrices include the identity matrix , with (where is the Kronecker delta) and the diagonal matrix (where are a set of constants).
It is sometimes convenient to represent an entire matrix in terms of its matrix elements. Therefore, the th element of the matrix could be written , and the matrix composed of entries could be written as , or simply for short.
Two matrices may be added (matrix addition) or multiplied (matrix multiplication) together to yield a new matrix. Other common operations on a single matrix are matrix diagonalization, matrix inversion, and transposition.
The determinant or of a matrix is a very important quantity which appears in many diverse applications. The sum of the diagonal elements of a square matrix is known as the matrix trace and is also an important quantity in many sorts of computations.
The HECA Compliance Matrix lists key federal laws and regulations governing colleges and universities. It includes a brief summary of each law, applicable reporting deadlines, and links to additional resources. Users can sort by topic area or by date to plan for upcoming reporting requirements. Users can also filter by topic, to limit the matrix to certain topics of interest (i.e. athletics or human resources).
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Returns a matrix from an array-like object, or from a string of data.A matrix is a specialized 2-D array that retains its 2-D naturethrough operations. It has certain special operators, such as *(matrix multiplication) and ** (matrix power).
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