twobythree

Twobythree, commonly written as 2x3 or 2-by-3, denotes a dimension consisting of two units by three units. It appears across disciplines to describe size, shape, or arrangement, and is often used in reference to grids, matrices, or physical measurements.

In mathematics and linear algebra, a 2-by-3 matrix is a rectangular array with 2 rows and 3 columns, containing six scalar entries. Such a matrix is typically written with two horizontal lines of three entries each. It can be multiplied on the right by a 3-by-k matrix to produce a 2-by-k result, illustrating how dimensions govern matrix operations and composition.

Geometrically, a two-by-three rectangle has side lengths in the ratio 2:3 and an area equal to six times the area of a unit square. The concept extends to any units, so a 2-by-3 rectangle in meters, inches, or centimeters retains the same proportional relationship.

In design and layout, a 2-by-3 grid refers to a structure with two rows and three columns, used to organize content, images, or interface elements. In photography and printing, 2x3 inches is a common small-format size, especially for wallet photographs, though regional standards vary.

Overall, twobythree serves as a concise descriptor of proportion and structure, applied to mathematics, geometry, design, and physical measurements.