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Master The Concepts of Vector Independence and Dependence
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Learn the fundamentals of linear independence and dependence of vectors. In this video, you’ll discover how to graphically determine if two vectors are linearly independent or dependent, learn steps to follow to determine if a set of vectors is independent or dependent, and walk through example problems. Finally, you’ll explore four special cases where it's easy to determine whether a set of vectors is linearly independent or dependent.
Be sure to download the free guided notes (link below) to follow along and practice on your own. These notes include space to highlight key concepts and solve the example problems as we work through them.
*Link to Guided Notes*
Free downloadable pdf of guided notes that will help you follow along with the video and use later to review what you learned.
*Subscribe to My YouTube Channel*
*Visit the Understand The Math Website*
Find free guided notes, filled in guided notes for purchase, course outlines/playlists, and math merchandise.
*Connect on Social Media*
*Timestamps*
00:00 Introduction
00:29 Examples of linear independent and dependent vectors
03:08 Definitions
05:58 Example Problems
14:36 Special Cases
*More About Understand The Math*
Understand The Math provides students and lifelong learners with access to free, straightforward, and engaging mathematics instruction. I’m Cheryl Hile, the founder of Understand The Math, and I’m passionate about ensuring that accurate and engaging mathematics instruction is available to everyone! I have a Ph.D. in Engineering Science and Applied Mathematics and have over 25 years of teaching experience at the university level. This channel provides videos that contain clear explanations, step-by-step problem solving strategies, and carefully worked out example problems. In the video descriptions, you'll find a link to free guided notes. Students can use these notes to highlight concepts and fill in answers to example problems while watching the videos, and later, they can review what they've learned.
#LinearIndependence #LinearDependence #understandthemath #Vectors #LinearAlgebra #IndependentVectors #DependentVectors #SpecialCases #LearnMath #Mathematics #EducationalVideo #STEM #MathConcepts #VectorCalculations
Be sure to download the free guided notes (link below) to follow along and practice on your own. These notes include space to highlight key concepts and solve the example problems as we work through them.
*Link to Guided Notes*
Free downloadable pdf of guided notes that will help you follow along with the video and use later to review what you learned.
*Subscribe to My YouTube Channel*
*Visit the Understand The Math Website*
Find free guided notes, filled in guided notes for purchase, course outlines/playlists, and math merchandise.
*Connect on Social Media*
*Timestamps*
00:00 Introduction
00:29 Examples of linear independent and dependent vectors
03:08 Definitions
05:58 Example Problems
14:36 Special Cases
*More About Understand The Math*
Understand The Math provides students and lifelong learners with access to free, straightforward, and engaging mathematics instruction. I’m Cheryl Hile, the founder of Understand The Math, and I’m passionate about ensuring that accurate and engaging mathematics instruction is available to everyone! I have a Ph.D. in Engineering Science and Applied Mathematics and have over 25 years of teaching experience at the university level. This channel provides videos that contain clear explanations, step-by-step problem solving strategies, and carefully worked out example problems. In the video descriptions, you'll find a link to free guided notes. Students can use these notes to highlight concepts and fill in answers to example problems while watching the videos, and later, they can review what they've learned.
#LinearIndependence #LinearDependence #understandthemath #Vectors #LinearAlgebra #IndependentVectors #DependentVectors #SpecialCases #LearnMath #Mathematics #EducationalVideo #STEM #MathConcepts #VectorCalculations
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