Diagonalizing a symmetric matrix, part 2
10:42
Diagonalizing a symmetric matrix, part 2
Diagonalize a symmetric matrix, part 1
14:38
Diagonalize a symmetric matrix, part 1
Standard matrix of a rotation
14:06
Standard matrix of a rotation
Write the equation of a rational function based on its graph
11:31
Write the equation of a rational function based on its graph
Graphing a rational function with two vertical asymptotes
13:12
Graphing a rational function with two vertical asymptotes
Graphing a rational function with a slant asymptote
12:00
Graphing a rational function with a slant asymptote
Decompose a vector into the sum of the projection onto another vector and the orthogonal component
8:52
Decompose a vector into the sum of the projection onto another vector and the orthogonal component
Use orthogonality to express a vector as a linear combination of the basis vectors
7:36
Use orthogonality to express a vector as a linear combination of the basis vectors
Introductory example finding eigenvalues of a 2x2 matrix
7:08
Introductory example finding eigenvalues of a 2x2 matrix
Exponential equation, base e
5:12
Exponential equation, base e
Solve exponential equation - harder example
10:13
Solve exponential equation - harder example
Find a basis for an eigenspace
12:26
Find a basis for an eigenspace
Using cofactor expansion to compute a determinant
6:20
Using cofactor expansion to compute a determinant
Find a basis for span of vectors
12:54
Find a basis for span of vectors
Basis first examples
7:25
Basis first examples
Word problem involving angle of elevation
8:27
Word problem involving angle of elevation
Using the right triangle definitions of the trig functions
6:38
Using the right triangle definitions of the trig functions
Solve matrix equation using basic matrix operations
4:06
Solve matrix equation using basic matrix operations
matrix transformation is a linear transformation
14:30
matrix transformation is a linear transformation
Linear transformations map the zero vector to zero vector
7:52
Linear transformations map the zero vector to zero vector
Using properties of linear transformations to compute the output
3:28
Using properties of linear transformations to compute the output
Use factor theorem to factor a degree 4 polynomial
13:25
Use factor theorem to factor a degree 4 polynomial
Synthetic division and long division
11:19
Synthetic division and long division
Simplify trigonometric expressions using ratio identities
2:39
Simplify trigonometric expressions using ratio identities
Simplify trig expressions using Pythagorean identities
5:22
Simplify trig expressions using Pythagorean identities
Product Rule Examples
10:26
Product Rule Examples
Quotient Rule Examples
13:39
Quotient Rule Examples
Derivatives of trigonometric functions using Quotient Rule
6:50
Derivatives of trigonometric functions using Quotient Rule
Finding the second derivative examples
8:59
Finding the second derivative examples
Chain Rule Examples
16:20
Chain Rule Examples