Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements.

If A is a square matrix, and you find another matrix B such that AB=I, then you can prove that BA=I as well, and that B=A^ (-1) is the only matrix with this property.

Practice solving systems of any number of linear equations using matrices and their inverses.

This topic covers: - Adding & subtracting matrices - Multiplying matrices by scalars - Multiplying matrices - Representing & solving linear systems with matrices - Matrix inverses - Matrix determinants - …

What I want to do in this video is explore the notion of a matrix outside of the context of a surprisingly good movie that involves Keanu Reeves. And it's actually the first of three.

By capturing all the second-derivative information of a multivariable function, the Hessian matrix often plays a role analogous to the ordinary second derivative in single variable calculus.

Learn how systems of linear equations can be represented by augmented matrices. A matrix is a rectangular arrangement of numbers into rows and columns. Matrices can be used to solve systems …

When we multiply a matrix by a scalar (i.e., a single number) we simply multiply all the matrix's terms by that scalar. We can also multiply a matrix by another matrix, but this process is more complicated. …

Now, the convenience of this quadratic form being written with a matrix like this is that we can write this more abstractally and instead of writing the whole matrix in, you could just let a letter like m represent …

Matrix multiplication is a way of composing linear transformations, and the convention for matrix multiplication is designed to make this composition of linear transformations work correctly.