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Learn how to calculate the dimension of a subspace spanned by a set of vectors. This video walks you through using matrices, row reduction, and pivots to find the dimension. Perfect for students tackling linear algebra concepts like vector spaces and spanning sets. What You’ll Learn: • How to determine the dimension of a subspace spanned by a set of vectors • How to use row reduction to identify pivots • How to calculate the dimension of a subspace • How the number of pivots relates to dimension Linear Algebra Playlist • Linear Algebra | Complete Course with Guid... Vector Spaces • Master Vector Spaces and Subspaces: Defini... • Determine if a Set is a Basis for a Vector... • Mastering the Null Space and Column Space ... • Mastering the Dimension of a Vector Space:... Subscribe to My YouTube Channel / @understandthemath Visit the Understand The Math Website https://www.understandthemath.com Find free guided notes, filled in guided notes for purchase, course outlines/playlists, and math merchandise. Connect & Support TikTok: / understandthemath Instagram: / understandthemath Facebook: https://www.facebook.com/profile.php?... Support: https://buymeacoffee.com/understandth... 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. #LinearAlgebra #Subspace #Dimension #MathTutorial #LearnMath #VectorSpaces #MatrixTheory #EngineeringMath #MathHelp