Visual Linear Algebra Online, Section 1.10
matrix gives the area of the parallelogram determined by its column vectors.The Determinant of a Square Matrix
matrix gives the area of the parallelogram determined by its column vectors. matrix gives the area of the parallelogram determined by its column vectors.Matrix Multiplication and Composite Transformations
Visual Linear Algebra Online, Section 1.8
.Function composition is a fundamental binary operation that arises in all areas of mathematics. Function composition is a useful way to create new functions from simpler pieces.
When the functions are linear transformations… Read the rest
High-Dimensional Linear Algebra
Visual Linear Algebra Online, Section 1.7
Many practical situations that require the use of linear algebra can involve hundreds or even thousands of unknowns. Modeling a national economy, optimizing the purchase of supplies, and managing flight schedules are prominent examples.
A vector quantity representing all the data in such a situation might therefore … Read the rest
Matrices and Linear Transformations in Low Dimensions
Visual Linear Algebra Online, Section 1.5
is a straight line through the origin in the plane 
.In mathematics, a matrix is not a simulated reality, but instead just a plain-old rectangular array of numbers. This does not mean, however, that mathematical matrices are uninteresting.
In fact, we … Read the rest