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

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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. 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. 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: Given a matrix A, the determinant of A (written as |A|) is given by the following equation: