Introduction to the inverse of a function | Matrix transformations | Linear Algebra | Khan Academy

Introduction to the inverse of a function

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[trymbruset]

Not nearly as bad as the comments suggest, watching this as part of the Linear Algebra playlist, there were no undefined terms used throughout the video.

[zhilinglin]

During the second half of video where you prove g=h, you use the reasoning, in the derivation process, that 'A function is equivalent to another if that function will map a vector x to the same vector y'. You don't need to care if that function is g or h or which path it takes, all you care is that it can map from a point to the same destination point, then these functions are the equivalence.

If this is the way to see if two functions are equivalent, then in the first place, your question 'is the inverse function unique?' is not a valid question. Because when you said 'inverse function', you mean the function from y map back to x. By the same reasoning, you don't even have to prove g = h because g & h are both functions that map from a point y to the same point x. They are equivalent even without those derivation. Just my 2 cents.

[tanny]

whats the difference between your playlists algebra and linear algenra?

[THSUTHDGOD]

im writing tomorrow im here for a quick fix

[JagadeshRaoThalur]

what is meant by Function? composition?

[SB-lmbh]

You need to define the mathematical terms you use. I have no idea what composition means.