Matrices

Progress
Introduction to matrices
Representing linear systems of equations with augmented matrices
Quiz 1
5 questions from the previous 2 lessons
Elementary matrix row operations
Row-echelon form & Gaussian elimination
Adding & subtracting matrices
Quiz 2
5 questions from the previous 3 lessons
Multiplying matrices by scalars
Properties of matrix addition & scalar multiplication
Multiplying matrices by matrices
Properties of matrix multiplication
Quiz 3
5 questions from the previous 4 lessons
Matrices as transformations
Determinant of a 2x2 matrix
Quiz 4
5 questions from the previous 2 lessons
Introduction to matrix inverses
Finding the inverse of a matrix using its determinant
Practice finding the inverses of 2x2 matrices
Quiz 5
5 questions from the previous 3 lessons
Determinants & inverses of large matrices
Solving equations with inverse matrices
Model real-world situations with matrices
Unit test
15 questions
Lessons
Introduction to matricesRepresenting linear systems of equations with augmented matricesQuiz 1Elementary matrix row operationsRow-echelon form & Gaussian eliminationAdding & subtracting matricesQuiz 2Multiplying matrices by scalarsProperties of matrix addition & scalar multiplicationMultiplying matrices by matricesProperties of matrix multiplicationQuiz 3Matrices as transformationsDeterminant of a 2x2 matrixQuiz 4Introduction to matrix inversesFinding the inverse of a matrix using its determinantPractice finding the inverses of 2x2 matricesQuiz 5Determinants & inverses of large matricesSolving equations with inverse matricesModel real-world situations with matricesUnit test
Introduction to matrices
Learn
Intro to matrices
Intro to matrices
Practice
Matrix dimensions
4 questions
Practice
Matrix elements
4 questions
Practice
Representing linear systems of equations with augmented matrices
Learn
Representing linear systems with matrices
Practice
Represent linear systems with matrices
4 questions
Practice
Quiz 1
These 5 questions cover concepts in:
Introduction to matrices
Representing linear systems of equations with augmented matrices
Elementary matrix row operations
Learn
Matrix row operations
Practice
Matrix row operations
4 questions
Practice
Row-echelon form & Gaussian elimination
Learn
Solving linear systems with matrices
Adding & subtracting matrices
Learn
Adding & subtracting matrices
Adding & subtracting matrices
Practice
Add & subtract matrices
4 questions
Practice
Matrix equations: addition & subtraction
4 questions
Practice
Quiz 2
These 5 questions cover concepts in:
Elementary matrix row operations
Row-echelon form & Gaussian elimination
Adding & subtracting matrices
Multiplying matrices by scalars
Learn
Multiplying matrices by scalars
Multiplying matrices by scalars
Practice
Multiply matrices by scalars
4 questions
Practice
Matrix equations: scalar multiplication
4 questions
Practice
Properties of matrix addition & scalar multiplication
Learn
Intro to zero matrices
Properties of matrix addition
Properties of matrix scalar multiplication
Multiplying matrices by matrices
Learn
Intro to matrix multiplication
Multiplying matrices
Multiplying matrices
Practice
Multiply matrices
4 questions
Practice
Properties of matrix multiplication
Learn
Defined matrix operations
Matrix multiplication dimensions
Intro to identity matrix
Intro to identity matrices
Dimensions of identity matrix
Is matrix multiplication commutative?
Associative property of matrix multiplication
Zero matrix & matrix multiplication
Properties of matrix multiplication
Using properties of matrix operations
Using identity & zero matrices
Quiz 3
These 5 questions cover concepts in:
Multiplying matrices by scalars
Properties of matrix addition & scalar multiplication
Multiplying matrices by matrices
Properties of matrix multiplication
Matrices as transformations
Learn
Transforming vectors using matrices
Transforming polygons using matrices
Matrices as transformations
Matrix from visual representation of transformation
Visual representation of transformation from matrix
Practice
Transform vectors using matrices
4 questions
Practice
Transform polygons using matrices
4 questions
Practice
Matrices as transformations
4 questions
Practice
Determinant of a 2x2 matrix
Learn
Determinant of a 2x2 matrix
Practice
Determinant of a 2x2 matrix
4 questions
Practice
Quiz 4
These 5 questions cover concepts in:
Matrices as transformations
Determinant of a 2x2 matrix
Introduction to matrix inverses
Learn
Intro to matrix inverses
Determining invertible matrices
Practice
Determine inverse matrices
4 questions
Practice
Determine invertible matrices
4 questions
Practice
Finding the inverse of a matrix using its determinant
Learn
Finding inverse of a 2x2 matrix using determinant & adjugate
Practice finding the inverses of 2x2 matrices
Practice
Find the inverse of a 2x2 matrix
4 questions
Practice
Quiz 5
These 5 questions cover concepts in:
Introduction to matrix inverses
Finding the inverse of a matrix using its determinant
Practice finding the inverses of 2x2 matrices
Determinants & inverses of large matrices
Learn
Determinant of a 3x3 matrix: standard method (1 of 2)
Determinant of a 3x3 matrix: shortcut method (2 of 2)
Inverting a 3x3 matrix using Gaussian elimination
Inverting a 3x3 matrix using determinants Part 1: Matrix of minors and cofactor matrix
Inverting a 3x3 matrix using determinants Part 2: Adjugate matrix
Practice
Determinant of a 3x3 matrix
4 questions
Practice
Inverse of a 3x3 matrix
4 questions
Practice
Solving equations with inverse matrices
Learn
Representing linear systems with matrix equations
Solving linear systems with matrix equations
Matrix word problem: vector combination
Practice
Represent linear systems with matrix equations
4 questions
Practice
Model real-world situations with matrices
Learn
Matrix word problem: prices
Unit test
Test your understanding of Matrices with these 15 questions.

It takes about 15 to 20 minutes to finish this test.