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Unit: Matrices

Introduction to matrices

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Intro to matrices
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Intro to matrices
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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
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Practice
Represent linear systems with matrices
4 questions

Elementary matrix row operations

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Matrix row operations
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Practice
Matrix row operations
4 questions

Row-echelon form & Gaussian elimination

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Solving linear systems with matrices
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Adding & subtracting matrices

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Adding & subtracting matrices
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Adding & subtracting matrices
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Practice
Add & subtract matrices
4 questions
Matrix equations: addition & subtraction
4 questions

Multiplying matrices by scalars

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Multiplying matrices by scalars
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Multiplying matrices by scalars
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Practice
Multiply matrices by scalars
4 questions
Matrix equations: scalar multiplication
4 questions

Properties of matrix addition & scalar multiplication

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Intro to zero matrices
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Properties of matrix addition
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Properties of matrix scalar multiplication
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Multiplying matrices by matrices

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Intro to matrix multiplication
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Multiplying matrices
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Multiplying matrices
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Practice
Multiply matrices
4 questions

Properties of matrix multiplication

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Defined matrix operations
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Matrix multiplication dimensions
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Intro to identity matrix
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Intro to identity matrices
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Dimensions of identity matrix
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Is matrix multiplication commutative?
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Associative property of matrix multiplication
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Zero matrix & matrix multiplication
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Properties of matrix multiplication
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Using properties of matrix operations
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Using identity & zero matrices
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Matrices as transformations

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

Determinant of a 2x2 matrix

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Determinant of a 2x2 matrix
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Practice
Determinant of a 2x2 matrix
4 questions

Introduction to matrix inverses

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Intro to matrix inverses
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Determining invertible matrices
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Practice
Determine inverse matrices
4 questions
Determine invertible matrices
4 questions

Finding the inverse of a matrix using its determinant

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Finding inverse of a 2x2 matrix using determinant & adjugate
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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

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

Solving equations with inverse matrices

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Representing linear systems with matrix equations
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Solving linear systems with matrix equations
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Matrix word problem: vector combination
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Practice
Represent linear systems with matrix equations
4 questions

Model real-world situations with matrices

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Matrix word problem: prices
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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