Linear Algebra 6k: The Null Space

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  2. Linear Algebra (Field Of Study)
  3. Matrix Multiplication (Literature Subject)
  4. The Matrix (Award-Winning Work)
  5. Vector
  6. Linear Equation (Literature Subject)
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Комментарии
Автор

I can't help but it feels so unnatural to me to learn solutions to problems you don't know even exist first and learn about the problems later, instead of presenting the problems first and then "discover" the solution. Like this null space. It came out of the blue for no apparent reason and then in the end we learn it has some important applications we will learn about later. This way I can't attach any meaning/use to this construct. I understand it at the moment, but it will be gone tomorrow. I don't mean to sound negative but I think this is how most human brains work. I appreciate the effort, and enthusiasm though. That's the thing that keeps me alert while watching this.

Filifow
Автор

oh my god. talk about a aha! moment. I have never understood why you can multiply/add equations, but I think I get it now!

forrestkennedy
Автор

An interesting approach. Rank-Nullity is apparent from the FOUR 'domain' vectors *a*, *b*, *c* and *d* producing TWO null-space vectors -what we would expect - since the 'range' of these vectors is itself two dimensional (namely the plane of the blackboard)

abajabbajew
Автор

07:28 "every set of vectors gives birth to a subspace of R4...". Isn't the dimension of R decided by the number of decomposition vectors? How can it be 4 everytime?

vineetmukim