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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Пікірлер: 81

  • @demetriuswright9982
    @demetriuswright99822 жыл бұрын

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

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Thank you, so glad it helped!

  • @suhanisharma60
    @suhanisharma602 жыл бұрын

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

  • @user-vu2uo2zy2b
    @user-vu2uo2zy2b5 ай бұрын

    Simply beautiful explanation ! Thanks .

  • @walker_ish2443
    @walker_ish24433 жыл бұрын

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

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    Thanks so much! I am glad it helped!

  • @Someshwar.18

    @Someshwar.18

    2 жыл бұрын

    Yeah

  • @celsiusfahrenheit1176
    @celsiusfahrenheit1176 Жыл бұрын

    Very very very helpful!!! Thanks!!!

  • @AnkitKumar-ts2ru
    @AnkitKumar-ts2ru2 жыл бұрын

    Cleared every point!! Thanks sir

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    My pleasure, thank you for watching!

  • @aditipriya9559
    @aditipriya95592 жыл бұрын

    Really amazing video Short and crisp exact at point🤩

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Thank you!

  • @ghifarifan
    @ghifarifan3 жыл бұрын

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

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    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
    @SubhashKumar-ek2tm2 жыл бұрын

    Very good 👍explanation with good examples

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Thank you!

  • @saichintada4471
    @saichintada44713 жыл бұрын

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

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    Thanks, glad it was clear!

  • @o.om.m5632
    @o.om.m56322 жыл бұрын

    Very well explained, thank you

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    You're very welcome - thanks for watching!

  • @o.om.m5632

    @o.om.m5632

    2 жыл бұрын

    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
    @a.m8267 ай бұрын

    Thanks for explaining. Great video

  • @WrathofMath

    @WrathofMath

    7 ай бұрын

    Thank you!

  • @theonlinefriend8404
    @theonlinefriend84043 жыл бұрын

    greate man

  • @lokeshvyavhare4351
    @lokeshvyavhare43513 жыл бұрын

    Thnks for so simple explanation

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    My pleasure, thanks for watching!

  • @MultiDman2011
    @MultiDman201125 күн бұрын

    Thank you so much for your work

  • @WrathofMath

    @WrathofMath

    25 күн бұрын

    Thank you for watching!

  • @nisharawat20
    @nisharawat203 жыл бұрын

    We can apply column elemtry operation here or not

  • @naeemgill9260
    @naeemgill92602 жыл бұрын

    very helpful thank you🎯

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    You're very welcome, glad it helped!

  • @ssambadenis9401
    @ssambadenis94012 жыл бұрын

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

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    So glad it helped, thanks for watching!

  • @vaibhavshukla6856
    @vaibhavshukla68562 жыл бұрын

    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
    @eeswarb73082 жыл бұрын

    IT HELPED ME IN VIVA THANKS MAN !

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Glad to help, thanks for watching!

  • @steroid17
    @steroid17 Жыл бұрын

    man this is so helpful

  • @WrathofMath

    @WrathofMath

    Жыл бұрын

    Glad to hear it!

  • @anant_19
    @anant_192 жыл бұрын

    Very helpful

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Glad to hear it, thanks for watching!

  • @MaxPicAxe
    @MaxPicAxe2 жыл бұрын

    very good thanks!

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    My pleasure, thanks for watching!

  • @robertgaudreau4009
    @robertgaudreau40092 жыл бұрын

    It helps me to understand

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Glad to hear it, thanks for watching!

  • @sudhanshupandey614
    @sudhanshupandey6142 жыл бұрын

    Really helpful

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Glad to hear it, thanks for watching!

  • @kartikeytiwari3793
    @kartikeytiwari37933 жыл бұрын

    Thanks 👍

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    No problem, thanks for watching!

  • @ian.ambrose
    @ian.ambrose Жыл бұрын

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

  • @yourfavourite6295
    @yourfavourite6295 Жыл бұрын

    Thank Youuu❤

  • @WrathofMath

    @WrathofMath

    Жыл бұрын

    Glad to help - thanks for watching!

  • @Conceptuallearning16
    @Conceptuallearning162 жыл бұрын

    Awesome 💜💜💜

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    Thanks for watching!

  • @itskathan7940
    @itskathan79403 жыл бұрын

    Genius!

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    Thanks for watching!

  • @ithamanaisai9092
    @ithamanaisai90922 жыл бұрын

    Thank you

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    My pleasure, thanks for watching!

  • @theonlinefriend8404
    @theonlinefriend84043 жыл бұрын

    which software you are using to present the video

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

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

  • @theonlinefriend8404

    @theonlinefriend8404

    3 жыл бұрын

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

  • @abdullahrihawi8503
    @abdullahrihawi8503 Жыл бұрын

    YOU ARE A SAVIOUR MY FRIEND

  • @WrathofMath

    @WrathofMath

    Жыл бұрын

    GLAD TO HELP

  • @studynow3540
    @studynow35402 жыл бұрын

    Thankyou sir

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    My pleasure, thanks for watching!

  • @furqangondal1934
    @furqangondal19343 жыл бұрын

    Simple way👌

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    Glad to help, thanks for watching!

  • @thebasicphysics5042
    @thebasicphysics50423 жыл бұрын

    Useful in gauss elimination method

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    Absolutely! Thanks for watching!

  • @thebasicphysics5042

    @thebasicphysics5042

    3 жыл бұрын

    @@WrathofMath thanks sir

  • @canozturk369
    @canozturk3692 жыл бұрын

    ty

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

    My pleasure, thanks for watching!

  • @ganeshe.ganesh3176
    @ganeshe.ganesh31762 жыл бұрын

    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

    @WrathofMath

    2 жыл бұрын

    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
    @RideR-SAM65 Жыл бұрын

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

  • @aaaarish
    @aaaarish3 жыл бұрын

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

  • @WrathofMath

    @WrathofMath

    3 жыл бұрын

    I aim to please!

  • @brd8764
    @brd87644 жыл бұрын

    Age of.

  • @chinmoyboruah8016
    @chinmoyboruah8016 Жыл бұрын

    Helpful🫂

  • @WrathofMath

    @WrathofMath

    Жыл бұрын

    Awesome, thanks for watching!

  • @Mangan-mh4wx
    @Mangan-mh4wx2 жыл бұрын

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

  • @WrathofMath

    @WrathofMath

    2 жыл бұрын

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