From 7adf47c4b5a5d2d3fd2d2e8dd98d981be691b996 Mon Sep 17 00:00:00 2001 From: Jack Kang Date: Sun, 10 Feb 2019 13:19:04 -0500 Subject: [PATCH] added definition of 3x3 determinants (#23844) added additional info about 3x3 determinants and their meaning (geometrically) as well as the fact that they are also the volume of a parallelepiped. --- guide/english/mathematics/3-by-3-determinants/index.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/guide/english/mathematics/3-by-3-determinants/index.md b/guide/english/mathematics/3-by-3-determinants/index.md index 75f22f847e..baca05e89e 100644 --- a/guide/english/mathematics/3-by-3-determinants/index.md +++ b/guide/english/mathematics/3-by-3-determinants/index.md @@ -2,6 +2,12 @@ title: 3 by 3 Determinants --- ## 3 by 3 Determinants +3x3 determinants are a value that can be calculated by the values in a matrix. It is also known as the scaling factor of the linear transformation that the matrix represents. +When a 3x3 matrix and its rows are comprised of three vectors, the determinant of this 3x3 matrix is the volume of the parallelepiped that is made up of these three vectors. + + + +## Calculation ### Method 1 Consider the following matrix, which we will call A: