[Linear Algebra] Injective and Surjective Transformations

We talk about injective and surjective transformations in linear algebra.
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Linear Algebra: • Linear Algebra
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We look at geometric transformations, so reflecting, shearing, compressing, expanding, and projecting.
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[@Cyraxsify]

Examples start at 5:00.

[@AkimboFennec]

This is the best and simplest explanation of how to find out if the matrix transformation is infective or subjective. Thanks

[@charlieli7486]

thanks for these delicate videos!

[@melodyli6677]

thank you! I have difficulty in proof linear algebra also, could you please teach some these proofs too? a lot of thanks!

[@kotted]

Excellent! Thanks, I couldn't find any other proofs on surjectivity and injectivity of linear transformations better than those!

[@EsperanceBG]

this is really helpfull, thank you!

[@Francois6048]

thank you sir

[@jasminefitzsimons896]

THANK YOU

[@jaysmith4302]

Can you say that the columns of a matrix can't be linearly independent if there are more columns than rows?

[@Trevtutor]

+Jay Smith Yeah, that's another way of saying it.

[@bassimeledath2224]

what can I say, saved my life.

[@jamisonmcgillivray72]

Better than Khan Academy. Thank you so much.

[@zukisamkhize4303]

lies

[@MasayoMusic]

I didn't quite understand what "Span R^m" meant.

[@ccuuttww]

it s mean linear coefficient in ax=b ax+by=0 ;cx+dy =0 x and y have unique solution that's what i get someone tell me if it this wrong

[@ektabansal5332]

Thanks a lot otherwise professors has messed up everything...