Linear Algebra I – nDelx

Course Content

Chapter 1: Systems of Linear Equations 3 Topics

Lesson Content

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Linear equations

Gaussian elimination

Row-reduced echelon form

Chapter 2: Matrices and Matrix Operations 3 Topics

Lesson Content

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Matrix arithmetic

Inverse of a matrix

Elementary matrices

Chapter 3: Vector Spaces 3 Topics

Lesson Content

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Vectors in ℝⁿ

Span and linear independence

Basis and dimension

Chapter 4: Linear Transformations 3 Topics

Lesson Content

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Definition and examples

Matrix representation

Kernel and range

Chapter 5: Eigenvalues and Eigenvectors 3 Topics

Lesson Content

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Characteristic equation

Diagonalization

Applications in systems and data

About Instructor

nDelx

5 Courses