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Proving Algebraic Rules in Linear Algebra --- Ex: A(b+c) = Ab +Ac
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Every new algebraic operation - in this case Matrix-Vector multiplication - gets its own list of algebraic rules that are true. This video works through an example that demonstrates how to prove these kinds of statements. In particular we look at distributivity of the Matrix-Vector product over addition of vectors
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 Linear Algebra 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.
This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati.
BECOME A MEMBER:
MATH BOOKS & MERCH I LOVE:
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 Linear Algebra 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.
This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati.
BECOME A MEMBER:
MATH BOOKS & MERCH I LOVE:
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