From f8ea998c81cedc1c60a178f8cc3717207f6345a2 Mon Sep 17 00:00:00 2001 From: Blaze2305 <44285159+Blaze2305@users.noreply.github.com> Date: Sun, 25 Nov 2018 23:52:02 +0530 Subject: [PATCH] added geometrical meaning of 2 by 2 determinant (#22737) --- guide/english/mathematics/2-by-2-determinants/index.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/guide/english/mathematics/2-by-2-determinants/index.md b/guide/english/mathematics/2-by-2-determinants/index.md index e45ad49786..b15ace4ba1 100644 --- a/guide/english/mathematics/2-by-2-determinants/index.md +++ b/guide/english/mathematics/2-by-2-determinants/index.md @@ -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: