Neliötaulukkoa

Neliötaulukkoa is a Finnish term that translates to "square table" or "square matrix" in English. In mathematics and computer science, a square matrix is a matrix that has the same number of rows and columns. If a matrix has m rows and n columns, it is considered a square matrix when m = n. The size of a square matrix is often described by its dimension, for example, a 3x3 matrix is a square matrix of dimension 3.

Square matrices have many unique properties and play a significant role in various mathematical concepts. For instance, the determinant of a square matrix is a scalar value that can be computed from its elements. This determinant is crucial for determining if a square matrix is invertible, meaning it has a multiplicative inverse. In linear algebra, square matrices are used to represent linear transformations from a vector space to itself. Eigenvalues and eigenvectors are also properties specifically associated with square matrices, providing insights into the behavior of linear transformations. The concept of a square matrix is fundamental in fields such as cryptography, physics, engineering, and economics, where they are used to model systems and solve complex problems.