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The Matrix is an American cyberpunk [1] media franchise consisting of four feature films, ... This page was last edited on 13 December 2024, at 09:18 (UTC).
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 .
In September 2021, Warner Bros. confirmed that Johnny Klimek and Tom Tykwer would be scoring the film, having previously collaborated with Wachowski on Sense8 and Cloud Atlas, [4] replacing Don Davis, who composed the score for the first three films, though Klimek and Tykwer feature themes and material written by Davis for the original Matrix films.
The Matrix Revolutions was released in theaters roughly three weeks after The Matrix Reloaded arrived on DVD, on October 14, 2003. [10] [11] The film had the widest release ever opening simultaneously in 108 territories at 1400 Greenwich Mean Time on November 5, 2003. [12] [13]
In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. One way to express this is Q T Q = Q Q T = I , {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where Q T is the transpose of Q and I is the identity matrix .
If this is the case, then the matrix B is uniquely determined by A, and is called the (multiplicative) inverse of A, denoted by A −1. Matrix inversion is the process of finding the matrix which when multiplied by the original matrix gives the identity matrix. [2] Over a field, a square matrix that is not invertible is called singular or ...
Synonym for binary matrix or logical matrix. Alternant matrix: A matrix in which successive columns have a particular function applied to their entries. Alternating sign matrix: A square matrix with entries 0, 1 and −1 such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. Anti-diagonal ...
For example, if A is a 3-by-0 matrix and B is a 0-by-3 matrix, then AB is the 3-by-3 zero matrix corresponding to the null map from a 3-dimensional space V to itself, while BA is a 0-by-0 matrix. There is no common notation for empty matrices, but most computer algebra systems allow creating and computing with them.
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