determinant and volume

(1.1 hours to learn)


The volume of a box in n dimensions is given by the determinant of the matrix whose columns are the sides of the box. When a matrix is used as a linear transformation, it scales the volume of a set by its determinant.


This concept has the prerequisites:

Core resources (read/watch one of the following)


Khan Academy: Linear Algebra
MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
Author: Gilbert Strang


See also

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