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added geometrical meaning of 2 by 2 determinant (#22737)

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2018-11-25 23:52:02 +05:30
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guide/english/mathematics/2-by-2-determinants/index.md
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@ -6,6 +6,8 @@ title: 2 by 2 Determinants
In linear algebra, the determinant of a two-by-two matrix is a useful quantity. Mostly it is used to calculate the area of the given quadilateral (convex polygons only) and is also an easy representation of a quadilateral(convex polygons only) to be stored in computers as arrays. Scientists, engineers, and mathematicians use determinants in many everyday applications including image and graphic processing.
Geometrically , the determinant of a 2 by 2 matrix is the area of a unit square when the matrix transformation is applied to the plane.
Calculating the determinant of a square two-by-two matrix is simple, and is the basis of the [Laplace formula](https://en.wikipedia.org/wiki/Laplace_expansion) used for calculating determinants for larger square matrices.
Given a matrix A, the determinant of A (written as |A|) is given by the following equation: