[Linear Algebra] Injective and Surjective Transformations

We talk about injective and surjective transformations in linear algebra.

#LinearAlgebra #Algebra #UniversityMath #Lecture

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We look at geometric transformations, so reflecting, shearing, compressing, expanding, and projecting.

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[AkimboFennec]

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

[kotted]

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

[jamisonmcgillivray]

Better than Khan Academy. Thank you so much.

[jaysmith]

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

[melodyli]

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

[MasayoMusic]

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

[ektabansal]

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