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The Matrix is a 1999 science fiction action film [5] [6] written and directed by the Wachowskis. [a] It is the first installment in the Matrix film series, starring Keanu Reeves, Laurence Fishburne, Carrie-Anne Moss, Hugo Weaving and Joe Pantoliano, and depicts a dystopian future in which humanity is unknowingly trapped inside the Matrix, a simulated reality that intelligent machines have ...
The Matrix is an American cyberpunk [1] media franchise consisting of four feature films, beginning with The Matrix (1999) and continuing with three sequels, The Matrix Reloaded, The Matrix Revolutions (both 2003), and The Matrix Resurrections (2021). The first three films were written and directed by the Wachowskis and produced by Joel Silver.
Matrix (mathematics) An m × n matrix: the m rows are horizontal and the n columns are vertical. Each element of a matrix is often denoted by a variable with two subscripts. For example, a2,1 represents the element at the second row and first column of the matrix. In mathematics, a matrix (pl.: matrices) is a rectangular array or table of ...
The Matrix Resurrections is a 2021 American science fiction action film produced, co-written, and directed by Lana Wachowski, and the first in the Matrix franchise to be directed solely by Lana. It is the sequel to The Matrix Revolutions (2003) and the fourth installment in The Matrix film franchise. The film stars Keanu Reeves, Carrie-Anne ...
Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...
Eigenvalues and eigenvectors. In linear algebra, an eigenvector (/ ˈaɪɡən -/ EYE-gən-) or characteristic vector is a vector that has its direction unchanged by a given linear transformation. More precisely, an eigenvector, , of a linear transformation, , is scaled by a constant factor, , when the linear transformation is applied to it: .
Mr. Reagan (a.k.a. Cypher) (played by Joe Pantoliano) is a central character in The Matrix.In the film, he regrets being "unplugged" and entering the real world. He betrays the crew of the Nebuchadnezzar, offering to give up Morpheus to the Agents in exchange for being inserted back into the Matrix with no memory of his time outside the Matrix.
Eigendecomposition of a matrix. In linear algebra, eigendecomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors. Only diagonalizable matrices can be factorized in this way. When the matrix being factorized is a normal or real symmetric matrix, the ...