Finding the Null Space, Row Space, and Column Space of a Matrix

This is a video covering the topic: Finding the Null Space, Row Space, and Column Space of a Matrix for Arizona State Universities, UASP tutoring center.
This topic can be found in ASU courses: MAT 242

[@PETERTRITSCH]

The RREF is wrong. The 1,4 is 8/3 not 5/3

[@ranranj1245]

You are correct!

[@reengaesh7545]

YOU ARE 100% CORRECT ✅✅✅Thanks they confused with their answer

[@kailasharal4393]

correct

[@ashutoshpatel8044]

TRUE

[@saleplains]

glad to see this i was tripping. ironic because he mentioned a calculator performing the rref

[@PartyTurk]

are you describing this for blind people?

[@jealouseggs5619]

thanks for the explanation. but you do not have to read out every.single.element.in.a.matrix.

[@ignantxxxninja]

lmao

[@elliaisaac9039]

agreed :P

[@seanorourke2439]

thats exactly what my professor does it drives me nuts

[@opalyasu7159]

Yeah mine does that too sometimes
Maybe if he spent less time reading every damn number he could teach us more material better

[@nhatminh452]

OMG finally did i understand Definition of Column Space after being watched hundred of Video like this !!!!!
Thank you !

[@p00pingsquid]

I finally understood the difference between the spaces!!

[@lazizand]

you made it super clear (but it is veeery slow...) thank you sir!

[@wogawooga]

Try. Not. To. Pause. So. Much. And. Repeat. All. The. Time. When. You. Speak.

[@saachishrikhande852]

Use 2×

[@jasonbroadway8027]

I like the pauses in the video; I have slow processing speed.

[@philemonnyakuni4144]

Thanks for clarity

[@koushikr7039]

Gud one..thank you

[@caotriinh3236]

Best explanation. Although it had a little mistake in RREF

[@MunshyaBW]

Good job!

[@jubindas5007]

Thanks a lot❤️

[@BigOi1]

Very Helpfull, thank you so much!!

[@BigOi1]

shut up

[@venkataharikanune]

Nice explanation

[@user-ir3dp8iw9m]

thanks
❤

[@amritkumar7811]

Sir dimension of null space and null space is similar or different

[@mdmonabbirulislam8760]

❤

[@s0ulweaver]

How did you select x3 & x4 as free variables and assign arbitrary values to them? Why not take x1 & x2 as free variables and then find the corresponding values for x3 & x4?

[@ashishtiwari562]

SouL WeaVer bcz columns 1 & 2 in the row reduced echelon form has pivot elements. Only non-pivot columns can be Taken as free variables which are x3 & x4 here

[@user-zb8wc3qy1b]

@@ashishtiwari562 thank u sir

[@zoomboy6676]

because 3rd and 4th columns have no pivot points and hence they are taken as free variables. Another reason is both x3 and x4 can be written as linear combinations of x1 and x2, so they are dependent on x1 and x2, whereas x1 and x2 are independent

[@princenizamudin5180]

Awesome explanation but reading out every element was irritating

[@user-zy7kb6yd6z]

probably wont reply but shouldnt the row space contain the original rows?

[@asututoringcenters9693]

Hey! No, the row space should contain the rows of the null space (the matrix after the RREF operation). However, the column space should contain the columns of the original matrix with the pivots because the null space does not give valuable information about the column space and the original system of equations. Hope this clarifies some things :)

[@user-cq8zw9nk1g]

harvard of the midwest 💪

[@prodiptasenamartya7027]

row space is wrong, it should be the rows from the main vector

[@Sattiboyy]

Yeah

[@brandon-dq4jr]

nah, elementary row operations don't change the row space; so the row space of the original matrix and the row space of the rref of the matrix are the same. so you can collect the vectors from either one

[@prodiptasenamartya7027]

​@@brandon-dq4jr by the definition , it should be indicated by the main matrix, not by the RREF, RREF is only used to find it

[@krupeshs1726]

​​@@prodiptasenamartya7027No... you are wrong... @brandon-dq4jr is right!

[@meganjohnson4985]

i do not have the patience for this.

[@aviroxi]

nice video and you dont have to read everything in that slide :)

[@Beyondfutura]

you'r rref is slightly wrong

[@hamzahhassan9861]

robotic af

[@sakshirupaye6768]

Alexa now knows how to find null space

[@Roger__01]

bro sounds like baldi

[@felixsebastian7208]

Wrong