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Matrices

Introduction to matrices

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

Elementary matrix row operations

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Matrix row operations
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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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Adding and subtracting matrices

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Adding & subtracting matrices
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Adding & subtracting matrices
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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 scalars
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Multiplying matrices by scalars
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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 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 matricesGet 3 of 4 questions to level up!

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

Introduction to matrix inverses

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Intro to matrix inverses
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Determining invertible matrices
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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
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Practice finding the inverses of 2x2 matrices

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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 equations
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Solving linear systems with matrix equations
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Matrix word problem: vector combination
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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
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About this unit

Learn what matrices are and about their various uses: solving systems of equations, transforming shapes and vectors, and representing real-world situations. Learn how to add, subtract, and multiply matrices, and find the inverses of matrices.