2x3

2x3 is a notation that can refer to several related concepts in mathematics and geometry depending on the context. It is commonly read as "two by three" and can denote a numeric product, the dimensions of a 2-by-3 rectangle, or a matrix with two rows and three columns.

In arithmetic, 2 × 3 equals 6. The equality is symmetric: 2 × 3 = 3 × 2 = 6, illustrating the commutative property of multiplication. The result is a single number rather than a matrix or array.

In linear algebra, a 2 × 3 matrix is an array with two rows and three columns. It can be written as A = [ [a11, a12, a13], [a21, a22, a23] ]. Multiplication rules apply: multiplying a 2 × 3 matrix by a 3 × k matrix yields a 2 × k matrix; for example, A (2 × 3) times B (3 × 2) gives a 2 × 2 matrix.

In geometry, a 2 × 3 rectangle has side lengths of 2 and 3 units. Its area is 6 square units, and its perimeter is 10 units (2 + 2 + 3 + 3).

2 × 3 is also used to describe grids or layouts, such as pixel matrices in digital imaging, where "2 by 3" describes two rows and three columns. The notation is widely used across mathematics, computer science, and design to express dimensions and sizes.