Abigail Payne

Diagonalizing a symmetric matrix, part 2

Abigail Payne

Diagonalize a symmetric matrix, part 1

Abigail Payne

Standard matrix of a rotation

Abigail Payne

Write the equation of a rational function based on its graph

Abigail Payne

Graphing a rational function with two vertical asymptotes

Abigail Payne

Graphing a rational function with a slant asymptote

Abigail Payne

Decompose a vector into the sum of the projection onto another vector and the orthogonal component

Abigail Payne

Use orthogonality to express a vector as a linear combination of the basis vectors

Abigail Payne

Introductory example finding eigenvalues of a 2x2 matrix

Abigail Payne

Exponential equation, base e

Abigail Payne

Solve exponential equation - harder example

Abigail Payne

Find a basis for an eigenspace

Abigail Payne

Using cofactor expansion to compute a determinant

Abigail Payne

Find a basis for span of vectors

Abigail Payne

Basis first examples

Abigail Payne

Word problem involving angle of elevation

Abigail Payne

Using the right triangle definitions of the trig functions

Abigail Payne

Solve matrix equation using basic matrix operations

Abigail Payne

matrix transformation is a linear transformation

Abigail Payne

Linear transformations map the zero vector to zero vector

Abigail Payne

Using properties of linear transformations to compute the output

Abigail Payne

Use factor theorem to factor a degree 4 polynomial

Abigail Payne

Synthetic division and long division

Abigail Payne

Simplify trigonometric expressions using ratio identities

Abigail Payne

Simplify trig expressions using Pythagorean identities

Abigail Payne

Product Rule Examples

Abigail Payne

Quotient Rule Examples

Abigail Payne

Derivatives of trigonometric functions using Quotient Rule

Abigail Payne

Finding the second derivative examples

Abigail Payne

Chain Rule Examples

Abigail Payne