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Solving a System of Equations

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (2)

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (3)

Solving a system of two linear equations

MATH 140 Exam 1 Review #9

Writing the augmented matrix for a system of linear equations

MATH 140 Exam 1 Review #10

Determining if given values are solutions to a system of linear equations

MATH 140 Exam 1 Review #12

Solving a system of linear equations without using technology

MATH 140 Exam 1 Review #13

Finding the solution to a system of linear equations by graphing

MATH 140 Exam 1 Review #14a

Using a TI-84 to solve a system of linear equations in three variables

MATH 140 Exam 1 Review #14b

Using a TI-84 to solve a system of linear equations in three variables

MATH 140 Exam 1 Review #20

Writing a system of equations for a given word problem

WIR7 20B M150 V15

Solving a linear system of equations using substitution

WIR7 20B M150 V16

Solving a linear system of equations using elimination

WIR7 20B M150 V17

Solving a linear system of equations

WIR2 20B M251 V2

Finding the point where two lines in three-dimensional space intersect

WIR4 20B M251 V11

Using the method of Lagrange multipliers to find the extreme values of a function subject to a constraint

System of Equations

Explaining the concepts of existence and uniqueness for solutions of systems of equations

Systems of Equations Example 1

Solving a system of equations with three equations and three variables

Systems of Equations Example 2

Solving a two systems of equations

Systems of Equations Example 3

Using the Gauss-Jordan algorithm to solve a system of equations

Matrix Equation Example

Solving a system of equations by row reducing the augmented matrix

Matrix Inverse Example 3

Solving a matrix equation using the inverse of the matrix

System of Equations Exercise 1

Solving a system of equations by using the Gauss-Jordan algorithm to row reduce the augmented matrix

System of Equations Exercise 2

Solving a system of equations by using the Gauss-Jordan algorithm to row reduce the augmented matrix

System of Equations Exercise 3

Solving a system of equations by using the Gauss-Jordan algorithm to row reduce the augmented matrix

System of Equations Exercise 4

Solving a system of equations by using the Gauss-Jordan algorithm to row reduce the augmented matrix

System of Equations Exercise 5

Solving a system of equations by using the Gauss-Jordan algorithm to row reduce the augmented matrix

System of Equations Exercise 6

Solving a system of equations by using the Gauss-Jordan algorithm to row reduce the augmented matrix

System of Equations Exercise 7

Solving a system of equations by using the Gauss-Jordan algorithm to row reduce the augmented matrix

Matrix Inverse Exercise 1

Solving a system of equation by writing it as a matrix equation and using the matrix inverse

Maximum and Minimum Value (multivariable) Exercise V2

Finding all local extrema and saddle points for a function of two variables

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations

Matrix Operations

Explaining matrix operations including addition and multiplication

Systems of Linear Equations Exercise 1

Solving a system of linear equations with three equations and three variables

Systems of Linear Equations Exercise 2

Determining the solutions of a system of equations depending on the value of the constants

Linear Independence

Defining linear independence for a set of vectors

Linear Independence Exercise 1

Determining if three vectors are linearly independent

Math 304 Section 1.1 Exercise 1

Solving a system of linear equations and giving a geometric interpretation of the solution

Math 304 Section 1.1 Exercise 2

Using back substitution to solve a system of linear equations

Math 304 Section 1.1 Exercise 3

Determining which values for the constants in a system of equations make the system consistent

Math 304 Section 1.1 Exercise 4

Solving a system of three linear equations with three unknowns

Math 304 Section 1.2 Exercise 6

Solving a system of linear equations by putting the corresponding augmented matrix in reduced row echelon form

Math 304 Section 1.2 Exercise 7

Solving a system of linear equations by putting the corresponding augmented matrix in reduced row echelon form

Math 304 Section 1.2 Exercise 8

Solving a system of linear equations by putting the corresponding augmented matrix in row echelon form

Math 304 Section 1.2 Exercise 9

Solving a system of linear equations by putting the corresponding augmented matrix in reduced row echelon form

Math 304 Section 1.2 Exercise 10

Solving a system of linear equations by putting the corresponding augmented matrix in reduced row echelon form

Math 304 Section 1.2 Exercise 11

Solving a word problem using a linear system of equations

Math 304 Section 1.2 Exercise 12

Solving a word problem by writing it as a system of linear equations

Math 140 2.3 Exercise 1

Determining if ordered pair are solutions to a system of linear equations

Math 140 2.3 Exercise 2

Determining how many solutions systems of equations have without solving or graphing

Math 140 2.3 Exercise 3

Solving for a coefficient so that a linear system has exactly one solution

Math 140 2.3 Exercise 4

Solving a system of two linear equations in two unknowns by graphing

Math 140 2.3 Exercise 5

Solving a system of two linear equations in two unknowns by graphing

Math 140 2.3 Exercise 6

Solving a system of two linear equations in two unknowns by graphing

Math 140 2.3 Exercise 7

Solving a system of two linear equations in two unknowns by substitution

Math 140 2.3 Exercise 8

Solving a system of two linear equations in two unknowns by substitution

Math 140 2.3 Exercise 9

Solving a system of two linear equations in two unknowns using addition

Math 140 2.3 Exercise 10

Solving a system of two linear equations in two unknowns using addition

Math 140 2.4 Exercise 1

Writing a system of linear equations for a word problem

Math 140 2.4 Exercise 2

Writing an augmented matrix for a system of linear equations

Math 140 2.4 Exercise 3

Writing a system of linear equations that corresponds to an augmented matrix

Math 140 2.4 Exercise 6

Solving a system of linear equations using the Gauss-Jordan Elimination Method

Math 140 2.4 Exercise 7

Solving a system of linear equations using the Gauss-Jordan Elimination Method

Math 140 2.4 Exercise 8

Using technology to solve a system of linear equations

Math 140 2.4 Exercise 9

Solving a word problem using a linear system of equations and a calculator

Math 304 Section 3.5 Exercise 5

Finding the coordinate vector of a quadratic given a basis for the vector space

Equation of a Line Given Two Points

Writing the equation of a line passing through two points

Slope-Intercept Form of an Equation for a Line

Writing the equation of a line through two points in slope-intercept form

Standard Form of an Equation for a Line

Writing the equation of a graphed line in standard form

Factoring a Quadratic

Factoring a quadratic polynomial

Factoring a Quadratic (2)

Factoring a quadratic function

Factoring by Grouping

Factoring a cubic polynomial by grouping

Factoring Out the Greatest Common Factor

Finding the greatest common factor of a polynomial and then factoring it out

Factoring a Quadratic: Leading Coefficient is 1

Factoring a quadratic where the leading coefficient is 1

Factoring a Quadratic: Leading Coefficient is Not 1

Factoring quadratics where the leading coefficient is not 1

Factoring by Grouping (2)

Factoring several polynomials by grouping

Factoring a Difference of Two Squares

Factoring a difference of two squares

Factoring a Sum and Difference of Cubes

Factoring a sum of cubes and a difference of cubes

Simplifying a Rational Expression

Simplifying a rational expression

Subtracting Rational Expressions

Adding and then simplifying two rational expressions

Multiplying Rational Expressions

Multiplying two rational expressions and then simplifying

Dividing Rational Expressions

Dividing rational expressions and then simplifying the answer

Adding Rational Expressions

Adding two rational expressions and then simplifying the answer

Holes and Asymptotes of Rational Functions

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Holes and Asymptotes of Rational Functions (2)

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Matching a Rational Function with its Graph

Matching a rational function with its graph

Roots of a Quadratic

Using the quadratic formula to find the roots of a function

Roots of a Polynomial

Finding the roots of a cubic polynomial

Roots of a Square Root Function

Finding the roots of a square root function

Roots of a Function with an Absolute Value

Finding the roots of a function with an absolute value

Domain of a Rational Function

Finding the domain of a rational function

Domain of a Rational Function (2)

Finding the domain of a rational function

Domain of Function with Roots

Finding the domain of a function with a fraction and radicals

Domain of a Square Root Function

Finding the domain of a function with a quadratic inside a square root

Composition of Polynomial Functions

Finding the composition of two functions

Function Composition with a Rational Function

Finding the composition of a rational function and a quadratic

Composition of Logarithmic and Exponential Functions

Finding the composition of two functions with exponentials and logarithms

Composition of Square Root and Power Functions

Finding the composition of two functions with a square root and a fractional exponent

Composition of Cube Root and Power Functions

Finding the composition of two functions with a cube root and a fractional exponent

Inverse of a Linear Function

Finding the inverse of a linear function and its domain

Inverse of a Square Root Function

Finding the inverse of a square root function and its domain

Inverse of a Rational Function

Finding the inverse of a rational function and its domain

Inverse of a Rational Function (2)

Finding the inverse of a rational function and its domain

Difference Quotient of a Quadratic

Finding and simplifying the difference quotient for a quadratic function

Difference Quotient of a Rational Function

Finding and simplifying the difference quotient for a rational function

Difference Quotient of a Square Root Function

Finding and simplifying the difference quotient for a square root function

Solving an Inequality with a Polynomial

Solving an inequality with a polynomial by factoring and using a sign diagram

Solving an Inequality with a Rational Function

Solving an inequality with a rational expression by factoring and using a sign diagram

Solving an Inequality with a Sum of Rational Functions

Solving an inequality with two rational expressions using a sign diagram

Solving an Inequality with by Finding a Least Common Denominator

Solving an inequality with a rational expression using a sign diagram

Solving an Inequality with a Quadratic Function

Solving an inequality with a quadratic by factoring and using a sign diagram

Absolute Maximum or Minimum of a Quadratic

Finding the absolute maximum or absolute minimum of a quadratic

Standard Form of a Quadratic

Writing the standard form of quadratic function given its vertex and one other point

Component Form and Magnitude of a Vector

Finding the component form and magnitude for a vector between two points

Vector Addition and Subtraction and Scalar Multiplication

Performing calculations with vectors including addition, subtraction, and scalar multiplication

Dot Product

Calculating the dot product for three pairs of vectors

Finding a Unit Vector

Finding a unit vector in the direction of a given vector

An Equation with an Exponential Function

Solving a equation with an exponential function

An Equation with Exponential Functions of Different Bases

Solving an equation with two exponential functions with different bases

Factoring a Quadratic-Like Equation with Exponentials

Solving an equation with exponential functions by factoring

Factoring an Equation with Exponentials

Solving a equation with exponential functions by factoring

Population Model with Exponential Growth

Finding the size of a population of rabbits with exponential growth

Population Model with Exponential Decay

Finding the size of a population of rabbits with exponential decay

Horizontal Asymptote of an Exponential Function

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (2)

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (3)

Finding the horizontal asymptote of an exponential function

Expanding a Logarithmic Expression

Expanding a logarithmic expression using logarithm properties

Condensing a Logarithmic Expression

Condensing logarithmic expressions into a single logarithm

Evaluating Logarithmic Expressions

Finding the exact value of logarithms using logarithmic properties

Vertical Asymptote of a Logarithmic Function

Finding the vertical asymptote of a logarithmic function

Vertical Asymptote of a Logarithmic Function (2)

Finding the vertical asymptote of a logarithmic function

Domain and x-intercepts of a Logarithmic Function

Finding the domain and x-intercepts of a logarithmic function

Domain and x-intercepts of a Logarithmic Function (2)

Finding the domain and x-intercepts of a logarithmic function

Solving an Equation with Logarithms

Solving a logarithmic equation using properties of logarithms

Solving an Equation with a Logarithmic Function

Solving a logarithmic equation using properties of logarithms

Evaluating All Six Trigonometric Functions

Finding the values of all six trigonometric functions of an angle given a right triangle

Evaluating the Other Trigonometric Functions Given Sine

Evaluating the other five trigonometric functions for an acute angle given the value of sine

Evaluating the Other Trigonometric Functions Given Sine (2)

Evaluating the other five trigonometric functions given sine and that tangent is negative

Solving an Equation with Tangent

Finding the solutions to an equation with tangent in a given interval

Solving an Equation with Sine and Cosine

Solving a trigonometric equation with sine and cosine on a given interval

Factoring a Quadratic-Like Equation with Sine

Solving an quadratic-like equation with sine by factoring

Solving an Equation with Cosine

Solving an equation with cosine on a given interval

Solving an Equation with Sine

Solving a trigonometric equation with sine on a given interval

Sketching One Period of a Sine Function

Sketching one period of a transformed sine graph

Sketching One Period of a Cosine Function

Sketching one period of a cosine function with transformations

Properties of a Sine Function

Finding the amplitude, period, phase shift, and vertical shift for a given sine function

Find the Cosine Function for a Graph

Writing a cosine function for a given graph

Linear Algebra for Data Science Session 1

First lecture in a workshop for Linear Algebra for Data Science

Linear Algebra for Data Science Session 2

Second lecture in a workshop for Linear Algebra for Data Science

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations

Systems of Two Linear Equations in Two Variables Video 2

Solving a system of linear equations with two variables

Systems of Two Linear Equations in Two Variables Video 3

Solving a system of two linear equations with two variables using the elimination method

Systems of Two Linear Equations in Two Variables Video 4

Solving a system of two linear equations using a TI-84 calculator

Systems of Two Linear Equations in Two Variables Video 5

Solving a system of two linear equations using a TI-84 calculator

Systems of Two Linear Equations in Two Variables Video 6

Solving a system of two linear equations using a TI-84 calculator

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations