Reduced Row Echelon Form of the Matrix Explained | Linear Algebra

What is reduced row echelon form of a matrix? We give the definition of reduced row echelon form of matrices (rref) also called canonical form, compare reduced row echelon form to row echelon form, see some examples and non examples of rref matrices, and cover how to use Gauss-Jordan elimination to transform a matrix into its unique reduced row echelon form. #linearalgebra

0:00 Intro
0:28 Row Echelon Form
2:25 Reduced Row Echelon Form
4:10 Examples and Non-Examples
5:52 Reducing a Matrix to Reduced Row Echelon Form with Elementary Row Operations
7:25 What does Reduced Row Echelon Form tell us?
8:06 Outro

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★DONATE★

Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!

Follow Wrath of Math on...

[WrathofMath]

Help me finish this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier!

[lazybeans]

Just found this channel now and it's soooo good, really high quality and clear teaching

[nguyenvanthuc]

Very clear about reduced row - echelon matrix. Thank you sir!

[RichardLi-ks]

In finding the RREF, how did you get the top row to change into 1 3 1 from 1 3/2 2?

[HeatherT-htch]

Thank you for such a clear explanation! Helped me a lot!

[henrywoo]

Thank you sir for your exceptionally clear explanation !❤

[SzTz]

I have to say, you are a brilliant teacher. You present it at the exact speed I like to consume it. And your presentation style is very clear, have you worked in the theatre before ?

[djdanzo]

6:13 i love how you clearly showed every step involved, i am now subscribed

[roninxlonewolf]

6:49 Row 1, how is 3/2 turning into 3(which needs multiplication by 2), and 2 turning into 1(which needs division by 2).

[aisharkqiilah]

Very well-explained! Thank you so much <3

[CynthiaMadolwana]

I thank you. You helped me. I was struggling to find different between row echelon form and reduced row echelon form😊

[kusalaphameya]

What a great easy to follow explanation

[theekshanafernando]

best video by explaining practical usage

[jeontaetae]

Thank you very much for the clear explanation :)

[Napoleon]

You explain so good I don't know why you left some steps out of the video. The exercise is not making sense anymore

[pinkkitty]

thanks a lot, you explained it best with most clarity

[ErnestAgyir-mghl]

Does it mean every individual needs to get the same answers in finding ref of a matrix

[k_now]

6:50 How did in mid bottom matrix a12 became 3 from 3/2?

[FahimBinImam]

Awesome and clear Video.keep it up sir.

[karenwoodruff]

How did you get the top row from 1 3/2 2 to become 1 3 1?