Advanced Linear Algebra 1: Vector Spaces & Subspaces

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Math at Andrews University

Күн бұрын

Пікірлер: 24

@jianghemin9302 3 жыл бұрын

Thanks for uploading these. This professor's geometry series was most enlightening,, so this is gonna be a good watch

@MathatAndrews 3 жыл бұрын

We'll be adding more lectures every week!

@ikechukwumichael1383 2 жыл бұрын

Thank you for this beautiful lecture. It really advanced my understanding of LA

@ShivamAnandSpeaker 4 ай бұрын

This is what real teaching looks like. Brainstorming the concepts. Deriving one out of another in place just reading the ppts. Thanks Prof❤.

@OmarJaber-gm5xx 5 ай бұрын

Thank you so much. I felt so happy after watching this lecture. Finally, I understood vector space. 👏👏👏

@xoppa09 Ай бұрын

does it matter what the variable x can be in the polynomials, reals or rationals or complex numbers

@wsollers1 Жыл бұрын

This was a truly great lecture.

@richardchapman1592 Ай бұрын

The inspiration of trying to follow your algebraic topology course and also finding a little on 'action' leads me to look at the paths of a particle such as a photon. Were there unknown random influences on a photon which in a random walk have it slightly straying from the shortest geodetic to in 'potential' terms, the microscopic elements of the integration of it's 'action', namely mass times velocity times tiny distance summed, can lead to a virtually larger mass than rest mass. I suggest these random waves affecting a particle's path make it appear as if extra mass is present along it's path.

@Aylou07 Жыл бұрын

I am confused about the topics that I should study apart from Vector Space, some books leave subspace last or others explain it at once, it really confuses me a lot, I am studying this book for its geometry but I don't know what to continue from subspace, I think Most likely I will follow this great course

@JTan-fq6vy 8 ай бұрын

Thanks for the great video! One question regarding the commutative property: why is this property so special for a set to be a vector space? Specifically, what kind of properties/theorem/implication would lose if the commutative property doesn't hold for vector addition in a vector space? Thanks!

@richardchapman1592 Ай бұрын

The rigors of mathematical logic can only describe an aspect of reality that fits within the process of 'define first principles and derive from those'. Used well so far but the challenge to mathematicians now is how far they can feed back on quantum uncertainty and give logic grey areas to cope with as a kind of applied maths to help maths be a part of man rapeing nature.

@vedhasbalaji7648 2 жыл бұрын

Is this is a proof intensive course intended for pure math graduates, or is this going to be a general application based course that is intended for computer scientists, and other degrees?

@MathatAndrews Жыл бұрын

This is a proof-based Linear Algebra course, though we discuss many aspects of matrix theory of import to computing and engineering.

@richardchapman1592 Ай бұрын

Love your functions using vectors as the variables, but surely vectors are only two connected points in a greater dimension than one with a further dimension giving them direction. Is this c1 or s0 extended to R1 or s0. Apologies for assuming that humans may be an aspect of God that i should ask a question of before i die, are you a human or an AI attempting to be the creator?

@muzammilaziz9979 3 жыл бұрын

Thank you for uploading the lectures. Looking forward to more. Is there a course page with excercises and syllabus?

@MathatAndrews 3 жыл бұрын

We are closely following the book by Johnston, "Advanced Linear and Matrix Algebra". It is full of many excellent problems!

@EdgarSanchez-dv8pr Жыл бұрын

Gracias ! saludos desde sudamérica !

@richardchapman1592 Ай бұрын

Balls, two of them, to number systems being consistent using a square root of minus one as part of a first duality. With such understanding given to them cannot understand why they think bombing is pertinent.