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Unit: Matrices

Introduction to matrices

Learn
Intro to matrices
(Opens a modal)
Intro to matrices
(Opens a modal)
Practice
Matrix dimensions
4 questions
Matrix elements
4 questions

Representing linear systems of equations with augmented matrices

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Representing linear systems with matrices
(Opens a modal)
Practice
Represent linear systems with matrices
4 questions

Elementary matrix row operations

Learn
Matrix row operations
(Opens a modal)
Practice
Matrix row operations
4 questions

Row-echelon form & Gaussian elimination

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Solving linear systems with matrices
(Opens a modal)

Adding & subtracting matrices

Learn
Adding & subtracting matrices
(Opens a modal)
Adding & subtracting matrices
(Opens a modal)
Practice
Add & subtract matrices
4 questions
Matrix equations: addition & subtraction
4 questions

Multiplying matrices by scalars

Learn
Multiplying matrices by scalars
(Opens a modal)
Multiplying matrices by scalars
(Opens a modal)
Practice
Multiply matrices by scalars
4 questions
Matrix equations: scalar multiplication
4 questions

Properties of matrix addition & scalar multiplication

Learn
Intro to zero matrices
(Opens a modal)
Properties of matrix addition
(Opens a modal)
Properties of matrix scalar multiplication
(Opens a modal)

Multiplying matrices by matrices

Learn
Intro to matrix multiplication
(Opens a modal)
Multiplying matrices
(Opens a modal)
Multiplying matrices
(Opens a modal)
Practice
Multiply matrices
4 questions

Properties of matrix multiplication

Learn
Defined matrix operations
(Opens a modal)
Matrix multiplication dimensions
(Opens a modal)
Intro to identity matrix
(Opens a modal)
Intro to identity matrices
(Opens a modal)
Dimensions of identity matrix
(Opens a modal)
Is matrix multiplication commutative?
(Opens a modal)
Associative property of matrix multiplication
(Opens a modal)
Zero matrix & matrix multiplication
(Opens a modal)
Properties of matrix multiplication
(Opens a modal)
Using properties of matrix operations
(Opens a modal)
Using identity & zero matrices
(Opens a modal)

Matrices as transformations

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Transforming vectors using matrices
(Opens a modal)
Transforming polygons using matrices
(Opens a modal)
Matrices as transformations
(Opens a modal)
Matrix from visual representation of transformation
(Opens a modal)
Visual representation of transformation from matrix
(Opens a modal)
Practice
Transform vectors using matrices
4 questions
Transform polygons using matrices
4 questions
Matrices as transformations
4 questions

Determinant of a 2x2 matrix

Learn
Determinant of a 2x2 matrix
(Opens a modal)
Practice
Determinant of a 2x2 matrix
4 questions

Introduction to matrix inverses

Learn
Intro to matrix inverses
(Opens a modal)
Determining invertible matrices
(Opens a modal)
Practice
Determine inverse matrices
4 questions
Determine invertible matrices
4 questions

Finding the inverse of a matrix using its determinant

Learn
Finding inverse of a 2x2 matrix using determinant & adjugate
(Opens a modal)

Practice finding the inverses of 2x2 matrices

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Practice
Find the inverse of a 2x2 matrix
4 questions

Determinants & inverses of large matrices

Learn
Determinant of a 3x3 matrix: standard method (1 of 2)
(Opens a modal)
Determinant of a 3x3 matrix: shortcut method (2 of 2)
(Opens a modal)
Inverting a 3x3 matrix using Gaussian elimination
(Opens a modal)
Inverting a 3x3 matrix using determinants Part 1: Matrix of minors and cofactor matrix
(Opens a modal)
Inverting a 3x3 matrix using determinants Part 2: Adjugate matrix
(Opens a modal)
Practice
Determinant of a 3x3 matrix
4 questions
Inverse of a 3x3 matrix
4 questions

Solving equations with inverse matrices

Learn
Representing linear systems with matrix equations
(Opens a modal)
Solving linear systems with matrix equations
(Opens a modal)
Matrix word problem: vector combination
(Opens a modal)
Practice
Represent linear systems with matrix equations
4 questions

Model real-world situations with matrices

Learn
Matrix word problem: prices
(Opens a modal)

About this unit

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