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Unit: Matrices

Introduction to matrices

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Practice

Representing linear systems of equations with augmented matrices

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Elementary matrix row operations

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Row-echelon form & Gaussian elimination

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Adding & subtracting matrices

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Multiplying matrices by scalars

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Properties of matrix addition & scalar multiplication

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Multiplying matrices by matrices

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Properties of matrix multiplication

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Matrices as transformations

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Practice

Determinant of a 2x2 matrix

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Introduction to matrix inverses

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Finding the inverse of a matrix using its determinant

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Practice finding the inverses of 2x2 matrices

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Practice

Determinants & inverses of large matrices

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Solving equations with inverse matrices

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Model real-world situations with matrices

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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