Proof: Invertibility implies a unique solution to f(x)=y | Linear Algebra | Khan Academy

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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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[@varelafrank61]

lost myself at the beginning

[@PhyterJet]

big help thx :)

[@alkalait]

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.

[@jamesmaxwell007]

I think the video should have stopped at 8:14. Everything after that is repetitive and cofusing. Or maybe I missed something.

[@42c28]

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?

[@dakotahernandez9511]

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

[@shoaibanwar5320]

It's of 11th grade here in India.

[@bhaveshshrivastava3024]

​@@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.

[@Royalpower100]

sex? 20:27

[@Mirroredsmoke]

ha got em lmao

[@Kerrosene]

I somehow knew as soon as I heard it that this would be the first comment...

[@ccuuttww]

dirty mind lol