Linear Algebra 4.1.2 Subspace of a Vector Space 

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p(t) and q(t) don't necessarily have the same degree, and typically we should use different letters for the degree exponent, such as n and m.

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I'm a bit confused about your answering the question of whether the space of polynomial functions is a subspace of all real valued functions. At about the 8-minute mark of the video you you check for the requirement of multiplication being closed. Previously I thought you would said that this was scalar multiplication. But in this example, it seems that you are checking to see if the polynomials are closed under a different form of multiplication rather than scalar multiplication. Have I misinterpreted something here or did you slip up?

why did not you check for all of the 10 axioms in the previous video, in fact you only checked for these 3 conditions (which you described in this video).

at 17:53 i still dont understand how 0 is not an element in H just because there is a four. Can't you times H by 0 to make it a zero vector? like 0 x 4 = 0

Hi, where can I get more example questions and answers where I can practice?

Is this material appropriate for supplementing “Linear Algebra and it’s Applications “, 5th Edition textbook. Thank you.

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i don't understand this subject. watched your video over and over again and i don't get it

i dont understand the last example, what does it mean by the zero vector not belonging to H?

Why 0 belongs to the H in the 2nd last question but not the last question???? If anyone got that please explain it.

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