MATH 201 • Linear Algebra • Final

Determinant & Cofactor Expansion

Determinants of Bigger Matrices

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Exam like Question 6

Properties of Determinant

Properties of Determinant 2

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Cramer's Rule 1

Exam like Question 1

Exam like Question 2

Exam like Question 3

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

Exam like Question 1

Exam like Question 2

Properties of Determinant

Properties of Determinant

Properties of Determinant

Cramer's Rule

Cramer's Rule

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

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

Existence and Uniqueness

Existence and Uniqueness

Null & Column & Row Spaces, Rank

Null & Column & Row Spaces, Rank

Null & Column & Row Spaces, Rank

Null & Column & Row Spaces

Theory: Null & Column & Row Spaces, Rank

Kernel and Image of Transformations

Kernel and Image of Transformations

Kernel and Image of Transformations

Kernel and Image of Transformations

Kernel and Image of Transformations

Finding the Matrix of Transformations

Finding the Matrix of Transformations

Finding the Matrix of Transformations

Finding the Matrix of Transformations

Change of Basis

Diagonalization

Diagonalization

Diagonalization

Transformations & Eigenvectors

Transformations & Eigenvalues

Transformations & Eigenvectors

True-False Problems 1-4

True-False Problems 5-8

True-False Problems 9-12

Bonus

Bonus

Bonus

Bonus