# Matrices

## Introduction to matrices

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Intro to matricesIntro to matrices
Practice
Matrix dimensionsGet 3 of 4 questions to level up!
Matrix elementsGet 3 of 4 questions to level up!

## Representing linear systems of equations with augmented matrices

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Representing linear systems with matrices
Practice
Represent linear systems with matricesGet 3 of 4 questions to level up!

## Elementary matrix row operations

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Matrix row operations
Practice
Matrix row operationsGet 3 of 4 questions to level up!

## Row-echelon form and Gaussian elimination

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Solving linear systems with matrices

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Practice
Add & subtract matricesGet 3 of 4 questions to level up!
Matrix equations: addition & subtractionGet 3 of 4 questions to level up!

## Multiplying matrices by scalars

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Multiplying matrices by scalarsMultiplying matrices by scalars
Practice
Multiply matrices by scalarsGet 3 of 4 questions to level up!
Matrix equations: scalar multiplicationGet 3 of 4 questions to level up!

## Properties of matrix addition & scalar multiplication

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Intro to zero matricesProperties of matrix additionProperties of matrix scalar multiplication

## Multiplying matrices by matrices

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Intro to matrix multiplicationMultiplying matricesMultiplying matrices
Practice
Multiply matricesGet 3 of 4 questions to level up!

## Properties of matrix multiplication

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Defined matrix operationsMatrix multiplication dimensionsIntro to identity matrixIntro to identity matricesDimensions of identity matrixIs matrix multiplication commutative?Associative property of matrix multiplicationZero matrix & matrix multiplicationProperties of matrix multiplicationUsing properties of matrix operationsUsing identity & zero matrices

## Matrices as transformations

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Transforming vectors using matricesTransforming polygons using matricesMatrices as transformationsMatrix from visual representation of transformationVisual representation of transformation from matrix
Practice
Transform vectors using matricesGet 3 of 4 questions to level up!
Transform polygons using matricesGet 3 of 4 questions to level up!
Matrices as transformationsGet 3 of 4 questions to level up!

## The determinant of a 2x2 matrix

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Determinant of a 2x2 matrix
Practice
Determinant of a 2x2 matrixGet 3 of 4 questions to level up!

## Introduction to matrix inverses

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Intro to matrix inversesDetermining invertible matrices
Practice
Determine inverse matricesGet 3 of 4 questions to level up!
Determine invertible matricesGet 3 of 4 questions to level up!

## Finding the inverse of a matrix using its determinant

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Finding inverse of a 2x2 matrix using determinant & adjugate

## Practice finding the inverses of 2x2 matrices

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Practice
Find the inverse of a 2x2 matrixGet 3 of 4 questions to level up!

## Solving equations with inverse matrices

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Representing linear systems with matrix equationsSolving linear systems with matrix equationsMatrix word problem: vector combination
Practice
Represent linear systems with matrix equationsGet 3 of 4 questions to level up!

## Model real-world situations with matrices

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Matrix word problem: prices