Introduction to Linear Algebra: Vectors
Learn the basic arithmetic operations on vectors
What youâ€™ll learn
Introduction to Linear Algebra: Vectors
 Add and scale vectors specified geometrically or componentwise
 Write the definition of a linear combination of two vectors
 Write a vector as a linear combination of other vectors
 Identify in simple cases if a vector is in the span of others
 Write the definition of the dot product of two vectors written in components as well as the geometric definition of the dot product involving lengths and angles
 Compute dot products and lengths
 Find the angle between two vectors
 Define and produce unit vectors
 Define orthogonality
 Demonstrate understanding of and apply CauchySchwarz Inequality and Triangle Inequality
Requirements

Familiar with precalculus (algebra, trigonometry, and functions)
Description
HOW DOES THIS COURSE WORK:
This course, Introduction to Linear Algebra: Vectors, includes the first section you will learn in Linear Algebra, including a video, notes from the whiteboard during lectures, and practice problems (with solutions!). I also show every single step in examples and proofs. The course is organized into the following topics:
 Geometric Vectors
 Algebraic Vectors
 Linear Combination
 The span of a Set of Vectors
 The Norm
 The Dot Product
 CauchySchwarz Inequality
 Triangle Inequality
CONTENT YOU WILL GET INSIDE EACH SECTION:
Videos
: I start each topic by introducing and explaining the concept. I share all my solvingproblem techniques using examples. I show a variety of math issues you may encounter in class and make sure you can solve any problem by yourself.
Notes
: In each section, you will find my notes as a downloadable resource that I wrote during lectures. So you can review the notes even when you donâ€™t have internet access (but I encourage you to take your notes while taking the course!).
Assignments
: After you watch me doing some examples, now itâ€™s your turn to solve the problems! Be honest and do the practice problems before you check the solutions! If you pass, great! If not, you can review the videos and notes again.
THINGS THAT ARE INCLUDED IN THE COURSE:
 An instructor who truly cares about your success
 Lifetime access to Introduction to Linear Algebra: Vectors
HIGHLIGHTS:
#1:
Downloadable lectures so you can watch the videos whenever and wherever you are.
#2:
Downloadable lecture notes so you can review the lectures without having a device to watch/listen.
#3:
One problem set at the end of the course (with solutions!) for you to do more practice.
#4:
Stepbystep guide to help you solve problems.
See you inside the course!
â€“ Gina ðŸ™‚
Who this course is for:
 Anyone who has completed precalculus (algebra and trigonometry) and wants to learn some more advanced math
 Current Linear Algebra students who are looking for extra help on vectors
 Anyone who is not in the science stream but wants to study Linear Algebra for fun
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