A subspace is a subset that respects the two basic operations of linear algebra: vector addition and scalar multiplication. We say they are “closed under vector addition” and “closed under scalar multiplication”. On a subspace, you can do linear algebra! Indeed, a subspace is an example of a vector space. We see that all of R^n, {0}, and lines through the origin are all subspaces, but that lines NOT through the origin are not subspaces.

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
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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.

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Hello students i am himanshu sharma welcome’s you on your youtube channel cops institute In this video i have discussed some important questions of unit and dimensions chapter of physics, must watch like share and subscribe copsphysics (cops institute) Visit our channel for more information about us. Video Tags – rpsc first grade physics notes,…

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Advanced Mathematical Techniques in Chemical Engineering by Prof. S. De, Department of Chemical Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

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