What is an Augmented Matrix? | Linear Algebra, Matrix Theory, Augmented Matrices

What is an augmented matrix? Augmented matrices are created by joining the columns of two matrices, and they're surprisingly useful! In today's video math lesson, we'll go over augmented matrices and briefly introduce some of their uses, like finding the inverse of a matrix and solving systems of linear equations.
Solving systems of linear equations using augmented matrices is a common use. The augmented matrix in this situation is created by joining what is called the coefficient matrix with the constant matrix, we'll go over all of this in more detail in another lesson, but hopefully this video gets you excited to continue studying matrices!
Representing a System of Linear Equations in an Augmented Matrix: • Augmented Matrix for S...
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: vallow.bandcamp.com/
Vallow Spotify: open.spotify.com/artist/0fRtu...
Vallow SoundCloud: / benwatts-3
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[@demetriuswright9982]

best math video ive ever watched, extremely helpful. you just saved me roughly 30 minutes

[@WrathofMath]

Thank you, so glad it helped!

[@suhanisharma60]

Thankyou so much!! Really helped me with my university practice papers!

[@user-vu2uo2zy2b]

Simply beautiful explanation ! Thanks .

[@walker_ish2443]

It was simply amazing !!! the video was on point ...helped a lot ,thank you.

[@WrathofMath]

Thanks so much! I am glad it helped!

[@Someshwar.18]

Yeah

[@celsiusfahrenheit1176]

Very very very helpful!!! Thanks!!!

[@AnkitKumar-ts2ru]

Cleared every point!!
Thanks sir

[@WrathofMath]

My pleasure, thank you for watching!

[@aditipriya9559]

Really amazing video
Short and crisp exact at point🤩

[@WrathofMath]

Thank you!

[@ghifarifan]

i learn more watching this video rather than listening to my teacher explaining with my own language

[@WrathofMath]

I am glad it helped, and I hope your teacher's explanations become more clear! It's amazing for you to be able to learn math in a second language, much respect!

[@SubhashKumar-ek2tm]

Very good 👍explanation with good examples

[@WrathofMath]

Thank you!

[@saichintada4471]

It was a great explanation man... 👍👍👍👍

[@WrathofMath]

Thanks, glad it was clear!

[@o.om.m5632]

Very well explained, thank you

[@WrathofMath]

You're very welcome - thanks for watching!

[@o.om.m5632]

Is there a way to figure out from the matrix if the lines are parallel(no solution or infinite solutions) without going back and find the slope of each line

[@a.m826]

Thanks for explaining. Great video

[@WrathofMath]

Thank you!

[@theonlinefriend8404]

greate man

[@lokeshvyavhare4351]

Thnks for so simple explanation

[@WrathofMath]

My pleasure, thanks for watching!

[@MultiDman2011]

Thank you so much for your work

[@WrathofMath]

Thank you for watching!

[@nisharawat20]

We can apply column elemtry operation here or not

[@naeemgill9260]

very helpful thank you🎯

[@WrathofMath]

You're very welcome, glad it helped!

[@ssambadenis9401]

Wooow Trust me i have learnt something today.. Thanks alot

[@WrathofMath]

So glad it helped, thanks for watching!

[@vaibhavshukla6856]

What if the matrices are equal, will the system of augmented matrix will be same or something different?
And those RE and RRE forms please in a video!!

[@eeswarb7308]

IT HELPED ME IN VIVA THANKS MAN !

[@WrathofMath]

Glad to help, thanks for watching!

[@steroid17]

man this is so helpful

[@WrathofMath]

Glad to hear it!

[@anant_19]

Very helpful

[@WrathofMath]

Glad to hear it, thanks for watching!

[@MaxPicAxe]

very good thanks!

[@WrathofMath]

My pleasure, thanks for watching!

[@robertgaudreau4009]

It helps me to understand

[@WrathofMath]

Glad to hear it, thanks for watching!

[@sudhanshupandey614]

Really helpful

[@WrathofMath]

Glad to hear it, thanks for watching!

[@kartikeytiwari3793]

Thanks 👍

[@WrathofMath]

No problem, thanks for watching!

[@ian.ambrose]

Thank you, professor. You have pretty cool rap voice by the way.

[@yourfavourite6295]

Thank Youuu❤

[@WrathofMath]

Glad to help - thanks for watching!

[@Conceptuallearning16]

Awesome 💜💜💜

[@WrathofMath]

Thanks for watching!

[@itskathan7940]

Genius!

[@WrathofMath]

Thanks for watching!

[@ithamanaisai9092]

Thank you

[@WrathofMath]

My pleasure, thanks for watching!

[@theonlinefriend8404]

which software you are using to present the video

[@WrathofMath]

I recorded this lesson using "Notability" on iPad Pro!

[@theonlinefriend8404]

@@WrathofMath thank you the great man on the universe
notability like software for windows is available or not

[@abdullahrihawi8503]

YOU ARE A SAVIOUR MY FRIEND

[@WrathofMath]

GLAD TO HELP

[@studynow3540]

Thankyou sir

[@WrathofMath]

My pleasure, thanks for watching!

[@furqangondal1934]

Simple way👌

[@WrathofMath]

Glad to help, thanks for watching!

[@thebasicphysics5042]

Useful in gauss elimination method

[@WrathofMath]

Absolutely! Thanks for watching!

[@thebasicphysics5042]

@@WrathofMath thanks sir

[@canozturk369]

ty

[@WrathofMath]

My pleasure, thanks for watching!

[@ganeshe.ganesh3176]

Really usefull,,i just cannot unterstand which my teacher thought me,, but i now i understand clearly even though its not my mother tounge

[@WrathofMath]

So glad it helped, and I'm so impressed by people who can learn math outside of their primary language - thank you for watching!

[@RideR-SAM65]

Y cant we join them through rows....?

[@aaaarish]

I fuckin love the way he says 'MaYYtRiX'❤️🔥

[@WrathofMath]

I aim to please!

[@brd8764]

Age of.

[@chinmoyboruah8016]

Helpful🫂

[@WrathofMath]

Awesome, thanks for watching!

[@Mangan-mh4wx]

This is too easy, i dont think something this easy could be in an exam

[@WrathofMath]

Thanks for watching and I am glad it's easy for you! It's got a slightly intimidating name, but it's very easy!