Find Null Space and Nullity of a Matrix | Linear Algebra

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We find as basis for the null space, and the nullity, of a matrix. #linearalgebra #matrices
Find Rank of a Matrix: • How to Find the Rank o...
Finding Basis for the Row Space of a Matrix: • Finding Basis for the ...
Linear Algebra course: • Linear Algebra
Linear Algebra exercises: • Linear Algebra Exercises
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Опубликовано:

8 авг 2024

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Комментарии : 60

@WrathofMath 2 месяца назад

Help me produce this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier! ru-vid.com/show-UCyEKvaxi8mt9FMc62MHcliwjoin Linear Algebra course: ru-vid.com/group/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: ru-vid.com/group/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc

@advitranawade3039 7 месяцев назад

Detailed, to-the-point videos in a modern reaction vid type format? Super creative!

@WrathofMath 5 месяцев назад

Thank you!

@btsloveclub 9 месяцев назад

took me just a few mins to digest the concept and now i feel confident, most thanks to you!!

@WrathofMath 9 месяцев назад

Awesome! Thanks for watching!

@Snigkar Год назад

deeply appreciate your efforts. step by step thorough explanation helps understand the concept well. thank you so much😊 (by this point, i wish all my math syllabus had videos by you)

@WrathofMath Год назад

So glad to help - thanks for watching! I hope to have full playlists on all undergrad math courses in due time!

@a_mysterious_creature 4 месяца назад

Nullspace was melting my brain. Thank you so much!

@RyantheCanuckpirate 27 дней назад

What a lovely video. There's a smooth progression from step to step without our time being wasted

@WrathofMath 27 дней назад

Thank you!

@thenewdimension9832 Год назад

Thank-you so much you helped me in real analysis and now here also ❤❤❤❤❤❤❤❤ May God bless you !

@henrywoo1668 Год назад

Thank you Sir for your great video . Your explanation is very clear !😀

@user-uh5jo4zb4t 4 месяца назад

I have an exam tm.You’re videos are a life saver.

@WrathofMath 4 месяца назад

Good luck!

@agm8554 4 месяца назад

That helped out a lot! Thanks!

@Bedoroski 8 месяцев назад

You may not the almight professor that masters every subject, but I appreciate such effort dedicated into explaining it so smoothly. Please keep it up

@TheThreeMusketeers09 6 месяцев назад

You explain linear algebra a million times better than my professor, thanks man!

@WrathofMath 6 месяцев назад

Happy to help!

@bat_man1089 Год назад

please make videos on limits and continuity in matric space also on their properties

@user-lp2uy5fz3h Год назад

It's very informative for my exams, thanks man

@WrathofMath Год назад

Glad to help, thanks for watching and good luck!

@SzTz100 4 месяца назад

So kind of you to do these very educational videos, thank you.

@WrathofMath 4 месяца назад

Thank you!

@existentialrap521 9 месяцев назад

Looking good, bro. Good review. Doing some statistics theory proofs and oof they rely hard on this stuff. Thanks!

@WrathofMath 9 месяцев назад

Glad to help - good luck!

@aryanshrajsaxena6961 3 месяца назад

Leading variables correspond to those positions which appear first in the reduced row echelon form

@chyldstudios Год назад

well done.

@joonk2 4 месяца назад

appreciate so much! i had hard time to understand AX = 0, luckily i found this precious lecture so that makes me go to next step! thank you again for sharing this wonderful video.

@WrathofMath 4 месяца назад

Glad it helped!

@phymadori545 6 месяцев назад

Super clear explanation from the definition to how to do it. Thank you.

@WrathofMath 6 месяцев назад

Glad it was clear, thanks for watching!

@user-fy3bp1vo6q Год назад

thank you, your explanation is very clear, and this video is very helpfull, all your videos are great

@WrathofMath Год назад

Thanks so much!

@amcraft2031 7 месяцев назад

Great explanation! Now I feel a bit more secure in my math exam tomorrow!

@WrathofMath 7 месяцев назад

Glad it helped!

@ProgressiveVoice Год назад

Great vid much thanks!

@WrathofMath Год назад

Glad to help, thanks for watching! Much more linear algebra on the way!

@Melixmn 3 месяца назад

Wow,awesome thank you

@WrathofMath 3 месяца назад

Glad to help, thanks for watching!

@fortyung 3 месяца назад

Is it safe to say that the number of free variables is the null space?

@thenewdimension9832 Год назад

If possible please make Playlist separately ,will be helpful to find videos 😊

@WrathofMath Год назад

Do you mean a linear algebra playlist? I already have one, it is linked in the description. However it is currently unlisted - meaning you can only access it with the link. This is just because it’s very small right now, and I don’t want to clutter my playlist space with small playlists, but it will be in the description for all my Lin alg videos, and will be public when it has more content! Let me know if you have any topic requests and thanks a lot for watching!

@successorof68 10 месяцев назад

Are you ever planning to do advanced linear algebra course? These videos are nice to review some concepts but would be better if you are able to do more rigorous L.A. concepts.

@WrathofMath 10 месяцев назад

I would like to, but need to make more basic videos first that are relevant to more people to pay for the production of those more niche courses. As soon as a lot of my basic videos break into the pre-algebra search rankings, I’ll be able to make a lot more advanced stuff!

@successorof68 10 месяцев назад

@@WrathofMath I understand. Good luck!

@gouravmehta4030 9 месяцев назад

Appreciated 👌

@WrathofMath 9 месяцев назад

Happy to help!

@dyllislee326 5 месяцев назад

may i know why x2, x4 and x5 are free variables?

@forsboynewtec9726 3 месяца назад

They don’t have leading 1s, X1 and X2 are not free since they have leading 1s

@kunraiyan 9 месяцев назад

3:57 why write x2,x4 andx5 and not leave them as 0, in accordance with the equations above (in blue)?

@WrathofMath 9 месяцев назад

When we solved for the leading variables in the preceding step we found restrictions on x1 and x3. We found no restrictions on x2, x4, and x5. So when I consider the column vector [ x1, x2, x3, x4, x5 ], what is x1? Well, from our work we found x1 = 2x2 + x4 - 3x5. What about x2? Well, x2 has no restriction, so all we can say is x2=x2. If we had found x2=0, we would have written that, but we found no restriction on x2 nor the other free variables x4 and x5. Does that help?

@kunraiyan 9 месяцев назад

@@WrathofMath yes, thank you.