Finding Basis for the Column Space of a Matrix | Linear Algebra

[@WrathofMath]

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[@hamsadhuvanijs1781]

Uhhh, i saw your row spaces video before this, and i have a doubt....is it like we take the echelon form for row space basis and the original matrix corresponding to echolon form for column space basis?

[@math-r4g]

What a clean and clear shot... wow... just 3 mins to understand such a complex thing... thank you

[@WrathofMath]

Thanks for watching, glad it helped!

[@RaunakAnwar-b7e]

I love how simple and straightforward your video is on this exact subject regarding column spaces. Almost every video I have seen on column spaces is super long (at least 10-15 mins) and just too overcomplicated.

[@BARODI98110]

thank you master it was very clear just taking 4 minutes to understand rather than spending 1 whole hour in class with only 3 hour of sleep

[@migui0344]

short, clear, got the info i wanted, great video

[@WrathofMath]

Glad it was helpful!

[@mantisynth2186]

you explained in perfect clarity what i couldn't understand after rereading our useless textbook for over an hour. thank you so much

[@WrathofMath]

Glad it helped!

[@esti_1gc]

so extremely helpful THANK YOU

[@WrathofMath]

Glad to hear it - thanks for watching!

[@anwesha479]

Thank you so much master for the great explanation!

[@selindoga]

Hi friend, you just solved my life problem in minutes. Wowwwwww Thank youuuuuuuu

[@moviesera5250]

Thank you Amigo

[@WrathofMath]

Thank you for watching!

[@kathrynhart1040]

You just did in 3 minutes what my professor couldn't in 3 weeks

[@WrathofMath]

Glad I could help - thanks for watching!

[@JohnnyNavarro]

dude...Thank you! you made that so simple

[@WrathofMath]

So glad it helped! Working on more Linear Algebra videos as we speak!

[@averageotter5621]

So as a clarification the three vectors c1 c3 c5, form a basis for the colspace. This in turn means that the Span of (c1 c3 c5) is the col space?

[@WrathofMath]

That's correct!

[@JD-ci1rs]

This is incredible. Thank you very much. I hope you gain more viewership.

[@WrathofMath]

Thank you!

[@shadowlynx2624]

dude you're so underrated

[@WrathofMath]

I'll make another 1,000 math videos and maybe that will fix it!

[@mrzackmorris2360]

Love your intro here haha. Great Vid bro Thank you for the concise info

[@WrathofMath]

Appreciate it! Whether in sickness or health, this Linear Algebra isn't going to explain itself!

[@alitgm1903]

i still dont get the difference between the basis and generating set are they the same thing ????

[@lorddarkth662]

Thank you

[@WrathofMath]

You're welcome!

[@graphicsacademy7709]

Excellent

[@WrathofMath]

Thank you!

[@abanana_8997]

Wait so its just any column in the form that has a 1 in it or do the ones have to be in different rows?

[@RahulDabas-qf4ox]

Hey mate i wanna ask will here dimension=3 is defined of A or col(A)

[@nova_sw]

Bro Lovee you so much for this one😭😭 really helped me thanks

[@WrathofMath]

Glad to help! Thanks for watching!

[@Bedoroski]

I have a question: when finding the Row/Column space, when can we swap rows so not to change to Row/column space of the original matrix

[@WrathofMath]

Swapping rows will never change the row space, but swapping rows does generally change the column space.

[@JohnKale-of8fz]

Are leading ones the same thing as pivots?

[@WrathofMath]

Almost. The only difference is a "pivot" does not need to be 1. Consider a matrix in reduced row echelon form, but now imagine the leading 1s are 2s instead. Now they obviously aren't leading 1s, but they are still pivots.

[@sameershahzad249]

Tysm Sir

[@WrathofMath]

Thank you for watching!

[@sameershahzad249]

@@WrathofMath Welcome SIR

[@arivuchelvant.k8966]

Saved me at last minute 😂

[@WrathofMath]

Glad to help! Thanks for watching!

[@arivuchelvant.k8966]

🤩

[@anmol3457]

thanks

[@WrathofMath]

Glad to help!

[@anmol3457]

@@WrathofMath massive help too, i have a final in 3 hours haha

[@WrathofMath]

Good luck!

[@bilalhassan2242]

Thanks bro❤

[@WrathofMath]

Glad to help - thanks for watching !

[@oorischubert4085]

videos are great, subbed

[@WrathofMath]

Thank you! Much more Linear Algebra on the way this year

[@himanshuboora]

get well soon

[@WrathofMath]

Thank you! I'm all better now!

[@tintprxy]

I’m trying to prepare for this test but the intro had me laughing for at least 30 secs 😭

[@WrathofMath]

Haha, good luck! I feel much better now thankfully

[@tintprxy]

@@WrathofMath glad you feel better now!

[@tahayousuf]

thank you good sir, may your children be 6 foot or taller

[@SHSAT600]

nice

[@WrathofMath]

No basis is safe from being found!

[@PunmasterSTP]

I know this was already a year ago, but I'm sorry you got sick!

[@WrathofMath]

Time flies! It was better than this year in that regard, between December 2023 and February 2024 I was sick some 5 or 6 times. I'm in good health now though!

[@PunmasterSTP]

@@WrathofMath I’m glad to hear it! I’ve got small kids at home, so I’m no stranger to getting sick…

[@packmarathon]

ik it was 7 months ago but get well soon gang 🙏

[@WrathofMath]

Thank you! Teaching at this time of year puts me at very high risk of getting sick again. Trying to be careful!

[@sagar1526]

Thank you white man. This helped me with my exams