## Surjective (onto) and injective (one-to-one) functions | Linear Algebra | Khan Academy

Introduction to surjective and injective functions

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/relating-invertibility-to-being-onto-and-one-to-one?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?

https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/proof-invertibility-implies-a-unique-solution-to-f-x-y?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

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Hiooii

That guy who never gets mapped to is me

These comments make me feel young

Anyone in 2021?

on point and short. Loved it!

saolun hocam

midterms tomorrow thanks for this ^^

why does sal have such a beautiful voice

Thank u sir! Well explained ❤️

what does it mean * mapping from the x set to y set* and also

f of x is equal to yi'm taking online discrete math course rn due to covid, prof posted lecture, but couldn't understand any. Thank you for posting videos abt this.

We can't get videos like this even one of the paid applications that u would have.

Great person.

Still can't conceive how the people in these maths videos can write using a mouse like it was a pen

Explained very clearly

Bio students: that's Amoeba😂

I have a question

How do u know that the codomain is the same as the range

I have a question

How do u know that the codomain is the same as the range

This 9 min video= 2 hour lecture

Thanks

I thought Injective (ie not Surjective) meant that Y can't have many X. From what I know, what you are describing at 3:55 is a general function.

Woah it's 11 years now!!

will someone plz tell me how can two differnt values of x give same answer in a function? i mean how can4 and 5 both map to D

Thank youuuuuu my I undrestand now

So the image = range?

Gosh thx Khan academy! Amazing and easy way of explaining just what I needed to get back on track

but how do i translate this from a more complex problem? what if f : x —> x and f(x)=3x and x are real numbers? is there a video that addresses this sort of problem?

Dear Sir,

Why the Video Audio is not supporting in Google chrome ?? Kindly guide me in this issue

Thanks & Regards,

CHINMAY N BHAT

What if one of the x elements is not associated to any y elements? Is it a function or not?

KHAN YOU ARE THE GOAT!

Wow, this explanation was so clear, much better than my prof. just talking to himself on the board. You are indeed a true saint, making knowledge accessible to everybody.

Thank you 👏

Watching Khan's videos are like eating raspberry pie or like listening poetry.

Amazing explanation thank you.