MatrixHeight

MatrixHeight is a term used to denote the vertical dimension of a two-dimensional array or matrix. In the common M by N notation, M represents the height (the number of rows) and N represents the width (the number of columns). The height is a non-negative integer and is fundamental to understanding the shape, or dimensions, of the data structure.

In mathematics, the height of a matrix is implicit in its order. In programming and data processing, MatrixHeight is often retrieved as the first dimension of the matrix. For example, in many languages a two-dimensional array A has a height equal to the number of rows, which can be obtained by operations such as len(A), A.length, or A.GetLength(0), depending on the language.

In image processing, the height corresponds to the number of rows of pixels, determining the vertical resolution of the image. When working with color images, the height still refers to the grid of pixels, while the color channels are stored separately or together as part of the data value for each pixel.

Limitations and context: MatrixHeight is not a universal mathematical property on its own; it is meaningful only within a specific matrix or data structure. Some libraries and frameworks may refer to this dimension as the number of rows, while others might use terminology like height versus width or rows versus columns. Understanding MatrixHeight requires knowing the accompanying width or column count to describe the full shape of the data.

See also: Matrix, Row, Column, Dimension, Image resolution.