Matrices videos

Intro to matrices

Using matrices to represent data: Payoffs

Using matrices to represent data: Networks

Multiplying matrices by scalars

Adding & subtracting matrices

Using matrices to manipulate data: Pet store

Using matrices to manipulate data: Game show

Working with matrices as transformations of the plane

Matrices as transformations of the plane

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 square under mapping

Using matrices to transform the plane: Mapping a vector

Using matrices to transform the plane: Composing matrices

Using matrices to transform a 4D vector

Composing 3x3 matrices

Intro to matrix multiplication

Multiplying matrices

Defined matrix operations

Dimensions of identity matrix

Intro to identity matrix

Is matrix multiplication commutative?

Associative property of matrix multiplication

Using properties of matrix operations

Using identity & zero matrices

Zero matrix & matrix multiplication

Representing systems of equations with matrices

Representing systems of any number of equations with matrices

Inverse matrix introduction

Invertible matrices and determinants

Invertible matrices and transformations

Inverse matrices and matrix equations

Finding inverses of 2x2 matrices

Solving linear systems with matrices