MAT 242

ASU

Course Overview

Lessons & Practice

I. Welcome

1. Intro to Systems of Linear Equations & Gaussian Elimination

1.3hr

2. Matrices

1.2hr

2.1.1. Basics of Matrices3 min

2.1.2. Matrix Arithmetic3 min

2.1.3. Example1 min

2.1.4. Practice2 min

2.2.1. Matrix Multiplication6 min

2.2.2. Example1 min

2.2.3. Example4 min

2.2.4. Practice3 min

2.2.5. Practice2 min

2.2.6. Practice

2.3.1. Matrix Transpose3 min

2.3.2. Symmetric Matrices3 min

2.3.3. Example3 min

2.3.4. Practice60 sec

2.3.5. Practice2 min

2.4.1. Matrix Inverse4 min

2.4.2. Example3 min

2.4.3. Practice32 sec

2.4.4. Practice2 min

2.5.1. Matrix Inverse Algorithm3 min

2.5.2. Example2 min

2.5.3. Example2 min

2.5.4. Practice2 min

2.6.1. Invertible Matrix Theorem2 min

2.6.2. Example1 min

2.6.3. Practice1 min

2.7.1. Solving Matrix Equations2 min

2.7.2. Example52 sec

2.7.3. Example4 min

2.7.4. Practice2 min

2.7.5. Practice54 sec

2.7.6. Practice2 min

3. Determinants

51min

3.1.1. Basics of Determinants5 min

3.1.2. Example2 min

3.1.3. Practice2 min

3.1.4. Practice3 min

3.2.1. Minors and Cofactors4 min

3.2.2. Determinants of Large Matrices4 min

3.2.3. Example3 min

3.2.4. Practice2 min

3.2.5. Practice4 min

3.3.1. Shortcut for

3 \times 3

Determinants2 min

3.3.2. Example1 min

3.3.3. Practice2 min

3.4.1. Determinants and Inverse3 min

3.4.2. Example3 min

3.4.3. Practice2 min

3.5.1. Cramer's Rule3 min

3.5.2. Example2 min

3.5.3. Practice3 min

6. Orthogonal Vectors & Gram-Schmidt

12min

6.1.1. Orthonormal Set3 min

6.1.2. Example2 min

6.1.3. Gram-Schmidt Process3 min

6.1.4. Example4 min

6.1.5. Practice

7. Least Squares & Polynomial Fitting

10min

7.1.1. Least Squares Approximation6 min

7.1.2. Example4 min

7.1.3. Example: Least Squares for Polynomials

7.1.4. Practice

8. Linear Transformations

49min

8.1.1. Linear Transformations6 min

8.1.2. Example2 min

8.1.3. Example3 min

8.1.4. Practice2 min

8.1.5. Practice8 min

8.2.1. Composition and Inverse3 min

8.2.2. Example4 min

8.2.3. Practice3 min

8.3.1. Special Linear Transformations in

\reals^2

8.3.2. Example3 min

8.3.3. Practice3 min

8.3.4. Practice4 min

9. Cryptography (COMING SOON)

10. Orthogonality

12min

10.1.1. Orthonormal Set3 min

10.1.2. Example2 min

10.1.3. Gram-Schmidt Process3 min

10.1.4. Example4 min

10.1.5. Practice

10.2.1. Orthogonal Matrices

10.2.2. Orthogonal Complement

10.2.3. Orthogonal Projection

11. Least Squares Approximation

10min

11.1.1. Least Squares Approximation6 min

11.1.2. Example4 min

11.1.3. Example: Least Squares for Polynomials

11.1.4. Practice

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Welcome to Wize's Linear Algebra Course!
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