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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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Properties of matrix multiplication

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Defined matrix operations

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Intro to identity matrix

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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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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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Visual representation of transformation from matrix

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The determinant of a 2×2 matrix

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Determinant of a 2×2 matrix

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Introduction to matrix inverses

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Intro to matrix inverses

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Determining invertible matrices

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Finding the inverse of a matrix using its determinant

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Finding inverse of a 2×2 matrix using determinant & adjugate

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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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Model real-world situations with matrices

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Matrix word problem: prices

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Arithmetic sequences

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Sequences intro

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Intro to arithmetic sequences

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Sequences word problem: growth pattern

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Explicit formulas for arithmetic sequences

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Geometric sequences

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Intro to geometric sequences

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Intro to geometric sequences (advanced)

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Explicit & recursive formulas for geometric sequences

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Converting recursive & explicit forms of geometric sequences

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Geometric series introduction

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Geometric series intro

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Finite geometric series formula

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Worked examples: finite geometric series

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Geometric series word problems: swing

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Geometric series word problems: hike

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Geometric series

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Geometric series (with summation notation)

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Summation notation

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Geometric series with sigma notation

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Worked example: finite geometric series (sigma notation)

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Finite geometric series word problem: social media

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Finite geometric series word problem: mortgage

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Arithmetic series

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Arithmetic series intro

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Arithmetic series formula

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Worked example: arithmetic series (sigma notation)

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Worked example: arithmetic series (sum expression)

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Worked example: arithmetic series (recursive formula)

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Proof of finite arithmetic series formula