matriisimaattorit

Matriisimaattorit, a Finnish term, translates to "matrix multipliers" or "matrix multiplication" in English. This refers to the mathematical operation of multiplying two matrices together. The process requires that the number of columns in the first matrix must equal the number of rows in the second matrix. If matrix A has dimensions m x n and matrix B has dimensions n x p, then their product C (A * B) will have dimensions m x p.

The elements of the resulting matrix C are calculated by taking the dot product of the rows of the first matrix with the columns of the second matrix. Specifically, the element at position (i, j) in matrix C is the sum of the products of the elements in the i-th row of matrix A with the corresponding elements in the j-th column of matrix B. This operation is fundamental in various fields, including linear algebra, computer graphics, physics, and engineering. While matrix multiplication is associative, it is generally not commutative, meaning that A * B is not necessarily equal to B * A. Efficient algorithms for matrix multiplication are crucial for computational performance in many applications.