Computing Dimension of Null Space amp Column Space

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The dimension of a subspace is the number of basis vectors. For the two canonical subspaces associated to any matrix - the Null Space and the Column Space - we repeat quickly the computation of basis vectors for them and thus are able to compute their dimensions. • ************************************************** • ►Full Playlist: • Linear Algebra (Full Course) • ************************************************** • *Now it's your turn* • 1) Summarize the big idea of this video in your own words • 2) Write down anything you are unsure about to think about later • 3) What questions for the future do you have? Where are we going with this content? • 4) Can you come up with your own sample test problem on this material? Solve it! • Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master math means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK. • *************************************************** • Want more ideas for learning math effectively? • ►How to Watch Math Videos: • • How to watch math videos • ►5 Tips to Make Math Practice Problems Effective: • 5 Tips To Make Math Practice Problems... • **************************************************** • ►Want some cool math? Check out my Cool Math Series: • • Cool Math Series • **************************************************** • Course Playlists: • ►Calculus I: • Calculus I (Limits, Derivative, Integ... • ►Calculus II: • Older Calculus II (New Playlist For S... • ►Discrete Math: • Discrete Math (Full Course: Sets, Log... • ►Linear Algebra: • Linear Algebra (Full Course) • ***************************************************** • ►Follow me on Twitter: / treforbazett • ***************************************************** • This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati. • BECOME A MEMBER: • ►Join: / @drtrefor • MATH BOOKS MERCH I LOVE: • ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett

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