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.

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

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

A matrix is an array of numbers that we surround with square brackets. The dimension of a matrix is how many rows and columns it has, which we write as rows × columns .

The dimensions of a matrix tell the number of rows and columns of the matrix in that order. Since matrix A has 2 rows and 3 columns, it is called a 2 × 3 matrix.

Intro to determinant notation and computation Interpreting determinants in terms of area Finding area of figure after transformation using determinant Proof: Matrix determinant gives area of image of unit …

And so if we take a matrix and we multiply it by its inverse, that's analogous to taking a number and multiplying by its reciprocal and we get the equivalent of what in the number world would just be one, …

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. …

So all the tissues and organs together, you're going to get the whole organism. How do the cells get together, coordinate, structure themselves to form me or you? And the answer is, or at least it …

Matrix determinants are easy to define and hard to understand. So let's start with defining them and introducing related notation. In other videos we will learn what they mean and how to use them.