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2. Matrix multiplication algorithm - Wikipedia

   en.wikipedia.org/wiki/Matrix_multiplication...

   The definition of matrix multiplication is that if C = AB for an n × m matrix A and an m × p matrix B, then C is an n × p matrix with entries = =. From this, a simple algorithm can be constructed which loops over the indices i from 1 through n and j from 1 through p, computing the above using a nested loop:

3. Matrix multiplication - Wikipedia

   en.wikipedia.org/wiki/Matrix_multiplication

   Matrix multiplication shares some properties with usual multiplication. However, matrix multiplication is not defined if the number of columns of the first factor differs from the number of rows of the second factor, and it is non-commutative, [10] even when the product remains defined after changing the order of the factors. [11] [12]

4. Cannon's algorithm - Wikipedia

   en.wikipedia.org/wiki/Cannon's_algorithm

   In computer science, Cannon's algorithm is a distributed algorithm for matrix multiplication for two-dimensional meshes first described in 1969 by Lynn Elliot Cannon. [1] [2]It is especially suitable for computers laid out in an N × N mesh. [3]

5. Computational complexity of matrix multiplication - Wikipedia

   en.wikipedia.org/wiki/Computational_complexity...

   In 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 subroutine in theoretical and numerical algorithms for numerical linear algebra and optimization, so finding the fastest algorithm for matrix multiplication is of major practical ...

6. Matrix (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Matrix_(mathematics)

   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.

7. Conformable matrix - Wikipedia

   en.wikipedia.org/wiki/Conformable_matrix

   Multiplication of two matrices is defined if and only if the number of columns of the left matrix is the same as the number of rows of the right matrix. That is, if A is an m × n matrix and B is an s × p matrix, then n needs to be equal to s for the matrix product AB to be defined.

8. Try these four expert-approved treat-delivery methods to keep ...

   www.aol.com/try-four-expert-approved-treat...

   “For example, after a recall, you could offer a treat from your hand, toss one for a fun chase, then scatter a few on the ground for a sniffy reward” she suggests. “This variety keeps ...

9. Cramer's rule - Wikipedia

   en.wikipedia.org/wiki/Cramer's_rule

   Consider a system of n linear equations for n unknowns, represented in matrix multiplication form as follows: = where the n × n matrix A has a nonzero determinant, and the vector = (, …,) is the column vector of the variables. Then the theorem states that in this case the system has a unique solution, whose individual values for the unknowns ...