EngliSea > M > math > 35 Linear Algebra |

The branch of mathematics concerning linear equations, linear maps and their representations in vector spaces and through matrices.

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07 How to organize, add and multiply matrices

By now, I'm sure that in just anything you do in your life, you need numbers. In particular, though some fields don't just need a few numbers, they need lots of them. How do you keep track of those numbers?

5195

By now, I'm sure that in just anything you do in your life, you need numbers. In particular, though some fields don't just need a few numbers, they need lots of them. How do you keep track of those numbers?

5195

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**Dave**

03 Introduction to Linear Algebra ┆ 04 Understanding Matrices and Matrix Notation ┆ 05 Elementary Row Operations and Gauss-Jordan Elimination ┆ 06 Types of Matrices and Matrix Addition ┆ 07 Matrix Multiplication and Associated Properties ┆ 08 Evaluating the Determinant of a Matrix ┆ 09 The Vector Cross Product ┆ 10 Inverse Matrices and Their Properties ┆ Orthogonality and Orthonormality

03 Introduction to Linear Algebra ┆ 04 Understanding Matrices and Matrix Notation ┆ 05 Elementary Row Operations and Gauss-Jordan Elimination ┆ 06 Types of Matrices and Matrix Addition ┆ 07 Matrix Multiplication and Associated Properties ┆ 08 Evaluating the Determinant of a Matrix ┆ 09 The Vector Cross Product ┆ 10 Inverse Matrices and Their Properties ┆ Orthogonality and Orthonormality

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**Matthew Salomone**

Matthew Salomone ┆ 202W.00 Getting Started ┆ 202W.01.1 What is Linear Algebra? ┆ 202W.02 The parametric solution set of a linear system ┆ 202W.02A Numbers of variables and equations means... ┆ 202W.02B What do pivots mean? 2x2 examples ┆ 202W.02C What do pivots mean? 3x3 examples ┆ 202W.03C Linear systems and linear combinations ┆ 202W.03D Intro to Matrices and Matrix Multiplication ┆ 202W.03E What does linear algebra "look like?" ┆ 202W.04E Linear Independence Activity 2.4.3

Matthew Salomone ┆ 202W.00 Getting Started ┆ 202W.01.1 What is Linear Algebra? ┆ 202W.02 The parametric solution set of a linear system ┆ 202W.02A Numbers of variables and equations means... ┆ 202W.02B What do pivots mean? 2x2 examples ┆ 202W.02C What do pivots mean? 3x3 examples ┆ 202W.03C Linear systems and linear combinations ┆ 202W.03D Intro to Matrices and Matrix Multiplication ┆ 202W.03E What does linear algebra "look like?" ┆ 202W.04E Linear Independence Activity 2.4.3

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**Tensor**

01 Motivation ┆ 02 Tensor Definition ┆ 03 Correction on Forward + Backward Transforms ┆ 03 Forward and Backward Transformations (contains error; read description! ┆ 04 Vector definition ┆ 05 Vector Transformation Rules ┆ 06 What are Covectors?

01 Motivation ┆ 02 Tensor Definition ┆ 03 Correction on Forward + Backward Transforms ┆ 03 Forward and Backward Transformations (contains error; read description! ┆ 04 Vector definition ┆ 05 Vector Transformation Rules ┆ 06 What are Covectors?