MATH 201 (Fall 23) • Linear Algebra • Final

Eigenvalues & Eigenvectors : 3 Vital Steps

Eigenvalues & Eigenvectors: A Special Tip

A Matrix with Irrational Eigenvalues

Algebraic and Geometric Multiplicities 1

Algebraic and Geometric Multiplicities-2

Eigenspace of Matrices

Complex Eigenvalues

Complex Eigenvalues-2

Diagonalization 1

Diagonalization 2

Exam like Question

Key concepts for orthogonality

Orthogonal Complement

Orthagonal Complement 2

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam like Question 4

Orthogonal Sets and Basis

Advantage of an Orthogonal Basis

Orthonormal Sets and Basis

Orthogonal Matrix

Orthogonal Projection 1

Orthogonal Projection 2

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

The Gram-Schmidt Process 1

The Gram-Schmidt Process 2

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Exam like Question 2

Diagonalization 1

Diagonalization 2

Transformations & Eigenvalues 1

Transformations & Eigenvalues 2

Transformations & Eigenvalues 3

Transformations & Eigenvalues 4

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Harvard Type Question 1

Harvard Type Question 2

Harvard Type Question 3

Harvard Type Question 4

Harvard Type Question 5

Harvard Type Question 6

Harvard Type Question 7

Harvard Type Question 8

Harvard Type Question 9