How to Find the Matrix of a Linear Transformation

This is a very elementary discussion of linear transformations and matrices. I mention nothing about bases in this video and just give an easy way to identify the matrix. Hopefully this helps someone.

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Thank you:)

[alokraj]

Exactly what I want to understand. Like how we can represent a function or mapping or transformation in form of Matrix. Thanks a lot 🙏🏻

[lilstanni]

I love how u didnt skip a SINGLE STEP. thank u

[jingyiwang]

You have provided a clear solution. It is so wise and kind of you to help me with my studies!

[reamabdulsalam]

Many thanks for this I have been searching online and wasting 2 hours for nothing until I have seen your video well done please keep up

[jacobharris]

A good way I remember how to find the matrix is to see what vectors the linear transformations turns the canonical basis vectors, e1 hat, e2 hat and e3 hat, etc into. The resulting vectors are the columns of your matrix.

[Martian]

Thank you! Very easy to understand! I definitely needed

[cubbyhoo]

I love these wee videos, your inspiring words got me through my 1st and 2nd year engineering maths courses! Thanks so much and keep up the good work 🧙‍♂️

Ps 1st!

[vikpusplug]

11 months later, it's still useful to someone in de world. Thanks 🙏🏿

[Amapolabearr]

thank you! i didnt realize how easy it was until you showed us !!

[huwaidaadillya]

Thanks very much!!! you made it really easier to understand than my lecturer's explanation 🙇‍♀️

[JaspreetSingh-zpnm]

Little note this is a matrix of given transformation with respect to standard basis. What really confuses me is when we have to compute matrix with respect to non standard basis

[navinyaypatil]

Thanks a lot sir .
Your videos have been so helpful to me.🙏🙏lots of love and support from India 🇮🇳 ❤️

[italianodoc]

Thank you so much, you made my life easier.

[chyldstudios]

Great explanation of the interaction between matrices and vectors.

[kmviews]

Thanks for this wonderful explanation.

My exams is in an hour time, wish me good luck guys.

[crispeto_]

I would have loved to find this video before my linear algebra final exam.

[whiteshadow]

EZ situation, does the same apply when R3 to R2

[harpreet.]

Such a clear explanation ❤ great work🙌🙏❤️

[Hasanlyno.fan]

Where's the transformation in the second example? We went from R^3 to R^3, shouldn't transformations change the dimensions?

[MBoy_]

this video has been very helpful to me :)