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Matrix multiplication - Wikipedia
In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, … See more
Historically, matrix multiplication has been introduced for facilitating and clarifying computations in linear algebra. This strong relationship between … See more
Let us denote $${\displaystyle {\mathcal {M}}_{n}(R)}$$ the set of n×n square matrices with entries in a ring R, which, in practice, is often a See more
Other types of products of matrices include:
• Block matrix operations
• Cracovian product, … See moreMatrix times matrix
If A is an m × n matrix and B is an n × p matrix,
That is, the entry See moreMatrix multiplication shares some properties with usual multiplication. However, matrix multiplication is not defined if the number … See more
The definition of matrix product requires that the entries belong to a semiring, and does not require multiplication of elements of the semiring to be See more
Wikipedia text under CC-BY-SA license Matrix multiplication algorithm - Wikipedia
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Computational complexity of matrix multiplication
WEBIn theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of matrix multiplication can be performed. Matrix multiplication algorithms are a central …
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Why, historically, do we multiply matrices as we do?
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