The basis and dimension of a subspace. Vector spaces

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How can you can you find the basis and dimension of a subspace given by a Cartesian equation?
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Clear explanation... That was so helpful

dydx_mathematics
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I just started to learn linear algebra :)

sanelprtenjaca
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You made it seem so simple. Thank you so much!

arsheverest
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I really love your videos, and I needed a favor. I need you to prove a bunch of things for me. I need you to prove the commutative property of addition for all real numbers, the multiplication of fractions, the addition of fractions, the commutative property of multiplication for all real numbers, and the distributive property for all real numbers including irrational numbers please. What I love about math is that it is always consistent and that properties are not made from thin air, and if you prove all this properties for me I will feel much better about that fact.

zombieguy
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video for p2, p3 and p'(1)=p(2)?

mayrajloredo