Linear Algebra Example Problems - General Solution of Augmented Matrix

adampanagos.org
Course website: www.adampanagos.org/ala
We've considered representing linear systems of equations in an augmented matrix form in previous videos and examined how to solve them using simple row operations to manipulate them into a row reduced echelon form.
This video provides 3 additional examples of finding the solution of a system of linear equations after the augmented matrix has been manipulated into row reduced echelon form. We don't work through the row operation details, but instead focus on identifying basic variables, free variables, and constructing the system of equation solution.
Course website:
www.adampanagos.org/ala-appli...
If you enjoyed my videos please "Like", "Subscribe", and visit adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!

[@AdamPanagos]

Sorry for the small typos in part (c) of this problem. The row reduced matrix should be:
1 0 5 0 7 1
0 1 7 0 -4 -9
0 0 0 1 1 3
This typo doesn't change the conclusion in terms of basic variables and free variables but it is an error and could be confusing if you noticed it. Thanks for watching,
Adam

[@heythereprettybrowneyes4225]

this might've just saved my life. its organized very neatly and explained clearly, thank you!!!!

[@AdamPanagos]

Thanks for the kind words! If you found the video useful make sure to check out my website adampanagos.org where I have a lot of other resources available and consider supporting development of new videos through www.patreon.com/agpanagos. Thanks!
Adam

[@lanykhalil]

This has saved my life!! thank you!!

[@trending7716]

Oh no.
What have I watch just now.
Can't express it in words...
Thank you so so much.

[@AdamPanagos]

Glad I could help, thanks for watching. Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks, Adam

[@johnbishoppp]

This was a lot of help, thanks for making what I'm sure is the clearest, simplest explanation of augmented matrix solutions on youtube.

[@lopsangsherpa2110]

Thank you!!!! You were great help
Life saviour 👍🏻👍🏻

[@calumtheobald9026]

Thank you so much man you cleared so much up for me that no other video on this has been able to do. Great job

[@AdamPanagos]

Glad I could help, thanks for watching!

[@Diego-ss7sg]

THANK YOU SO SO SO MUCH!!! Lightyears better explanation than my pathetic professor

[@harneetsingh07]

awesome tutorial! thanks

[@jasneetsingh4723]

Your way of teaching is amazing its so organized and straightforward. Thank you!!!!!

[@AdamPanagos]

Thanks for the kind words, I’m glad you enjoyed the video! Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks much, Adam

[@anandaagnes6098]

Thank you so much for your great explanation...

[@AdamPanagos]

You’re welcome, thanks for watching. If you found the video useful make sure to check out my website (adampanagos.org) where I have a ton of other resources available. Thanks, Adam.

[@Mulkek]

Thanks, and it's so easy & simple!

[@AdamPanagos]

Glad I could help, thanks for watching. Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks, Adam

[@janicepearlsoria1213]

thank you so much, very helpful..

[@AdamPanagos]

Glad I could help, thanks for watching. If you’re looking for additional examples/videos make sure to check out my website adampanagos.org where I have a lot of other videos and resources available that you might find helpful. Thanks, Adam.

[@genasannicolas]

Thank you! You explained it very well and made it easy to understand-much easier than trying to read my textbook. I just subscribed to your channel.

[@AdamPanagos]

Thanks much!

[@ordinaryperson.__1]

Thanks a lot

[@PHouseholder]

Thank you very well done!

[@AdamPanagos]

You're very welcome, thanks for watching. Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks, Adam.

[@sadiaqayyum9333]

Thanks

[@user-bu8mg7uq3s]

thank you

[@knowledgetv9278]

Thank you so Much sir.

[@AdamPanagos]

You're very welcome, thanks for watching. Make sure to check out my website adampanagos.org for additional content (540+ videos) you might find helpful. Thanks, Adam.

[@pyravox2878]

Thanks for the help! Only complaint is in example "c", in Arr form, should entry (1,5) not be 7? (8-1 != 9)

[@SGRevolution2011]

the one below it should also be -4 instead of 4

[@ahmedmagdy-qg3tb]

good job

[@AdamPanagos]

+ahmed magdy Thanks, and thanks for watching!

[@marshall7253]

thanks mate

[@AdamPanagos]

You're welcome, thanks for watching. If you found this video helpful, make sure to check out my website adampanagos.org where I have a lot of other relevant material. Best,
Adam

[@ken-14san94]

how do you reduced rows to echelon form please?

[@AdamPanagos]

Check this other video on my channel out:
czcams.com/video/KFSkWm47Trs/video.html

[@gamesofcontent]

She finally makes sense now bud. Professor just mumbles as he is up there solving shit and I had no fucking clue what was going on.

[@AdamPanagos]

Glad I could help, thanks for watching. Make sure to check out my website adampanagos.org for additional content (540+ videos) you might find helpful. Thanks, Adam