Proof: Invertibility implies a unique solution to f(x)=y | Linear Algebra | Khan Academy
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- เผยแพร่เมื่อ 7 ก.พ. 2025
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Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.
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I think the video should have stopped at 8:14. Everything after that is repetitive and cofusing. Or maybe I missed something.
big help thx :)
I can spot an analogy, although oversimplistic, of the identity (or 1 in the univariate case) with the wave state of a particle in quantum mechanics.
Both entities have the potential of an infinite variability of instantiations. The identity to an infinite set of f/f-inverse compositions, and the particle to a set of infinite possible trajectories.
Even more, both entities revert to some state under observation. The particle wave collapses to a value; the f-inverse is defined under an assumed f.
lost myself at the beginning
What grade is this taught? I'm trying to get ahead because im going to high school this year and COVID has made me lose some of my education. I want to be able to have some base knowledge for the next school year. Is this taught in the 9th or above?
I'm a rising sophomore in college and I'm using this to help me with my homework lol. This is definitely college-level material and I wouldn't expect it to be taught in high school except to seniors. Depending on your high school, 9th grade is usually geometry or algebra i/ii
It's of 11th grade here in India.
@@shoaibanwar5320it ain't 11th standard mathematics. Well this concept is of algebra which indeed is a 11ty standard topic but this video is about linear algebra which is literally college material.
sex? 20:27
ha got em lmao
I somehow knew as soon as I heard it that this would be the first comment...
dirty mind lol