Inverse Functions: ln(x) and exp(x)
Calculus: Because ln(x) is a one-one function, we consider its inverse function exp(x). We interpret the usual properties for inverse functions with these functions.
From playlist Calculus Pt 3: Log, Exp and Inverse Trig Functions
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
The inverse of a matrix -- Elementary Linear Algebra
This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.
From playlist Elementary Linear Algebra
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
Invertible matrices and systems of linear equations II | Linear Algebra MATH1141 | N J Wildberger
We continue showing that an n by n matrix is invertible precisely when the equation Ax=b has a unique solution for any b. Along the way we will need to look at the matrix formulation of elementary row operations, and how these elementary matrices are invertible. This is a rather subtle but
From playlist Higher Linear Algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0
From playlist Linear Algebra
Multiplying & dividing rational expressions: monomials | High School Math | Khan Academy
Sal multiplies (6x³/5) X (2/3x) and divides (2x⁴/7) ➗ (5x⁴/4). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-mul-div-rational-exp/v/multiplying-and-dividing-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=highsc
From playlist Algebra II | High School Math | Khan Academy
Lec 16. Exponential Functions College Algebra with Dennis Allison
See full course at: https://cosmolearning.org/courses/college-algebra-pre-calculus-with-dennis-allison/ Video taken from: http://desource.uvu.edu/videos/math1050.php Lecture by Dennis Allison from Utah Valley University.
From playlist UVU: College Algebra with Dennis Allison | CosmoLearning Math
Simplifying rational expressions: common monomial factors | High School Math | Khan Academy
Sal simplifies the rational expressions (14x²+7x)/(14x) and (17z³+17z²)/(34z³-51z²) by taking common factors and canceling them. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/simplifying-rational-expressio
From playlist Algebra II | High School Math | Khan Academy
Adding & subtracting rational expressions: like denominators | High School Math | Khan Academy
Sal adds 6/(2x²-7) + (-3x-8)/(2x²-7) and subtracts (9x²+3)/(14x²-9) - (-3x²+5)/(14x²-9). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/algebraic-expression-adding-fractions?utm_source=YT&utm_medium=Desc&utm
From playlist Algebra II | High School Math | Khan Academy
Simplifying rational expressions: higher degree terms | High School Math | Khan Academy
Sal simplifies & states the domain of (x⁴+8x²+7)/(3x⁵-3x). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/simplifying-rational-expressions-w-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=highscho
From playlist Algebra II | High School Math | Khan Academy
Simplifying rational expressions: two variables | High School Math | Khan Academy
Sal simplifies & states the domain of (5x²+20xy+20y²)/(x²-xy-6y²). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/dividing-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the pre
From playlist Algebra II | High School Math | Khan Academy
Adding rational expression: unlike denominators | High School Math | Khan Academy
Sal rewrites (5x)/(2x-3)+(-4x²)(3x+1) as (-8x³+27x²+5x)/(2x-3)(3x+1). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/subtracting-rational-expressions-w-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_c
From playlist Algebra II | High School Math | Khan Academy
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
Subtracting rational expressions: unlike denominators | High School Math | Khan Academy
Sal rewrites (-5x)/(8x+7)-(6x³)(3x+1) as (-48x⁴-42x³-15x²-5x)/(8x+7)(3x+1). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/least-common-multiple-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=highschool
From playlist Algebra II | High School Math | Khan Academy
Subtracting rational expressions: factored denominators | High School Math | Khan Academy
Sal subtracts two rational expressions whose denominators are factored. The denominators aren't the same but they share a factor. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/least-common-multiples-of-poly
From playlist Algebra II | High School Math | Khan Academy
Dividing rational expressions: unknown expression | High School Math | Khan Academy
Sal finds the polynomial D for which (20y²-80)/D ÷ (4y²-8y)/(y³+9y²)=1 is true for all values of y for which it's defined. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/adding-and-subtracting-rational-expre
From playlist Algebra II | High School Math | Khan Academy
Inverse matrices | Lecture 6 | Matrix Algebra for Engineers
Definition of an inverse matrix. Computation of the inverse of a two-by-two matrix. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube
From playlist Matrix Algebra for Engineers