Find the null space of a matrix

This tutorial goes over how to find the null space of a matrix. You just need to find the set of vectors that satisfies the homogenous solution [A|0], or equivalently, the x in Ax=0. It is part of a full free course on linear algebra.

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Thanks for watching, I hope it helps!

[armangrigoryan]

Very simple explanation, thanks a lot!

[cluckingduck]

Thank you, thank you, thank you so much! I got a bit stuck on my linear algebra homework but you helped me get through it! Thanks again, and I'll make sure to reference your channel for other stuff!

[thodorisevangelakos]

When I first heard you go on small tangents about how "we can also calculate the *xyz* and the *abc*" I was kinda irritated, not gonna lie, but it quickly grew on me, you are a natural, keep up the great work!

[AAAlpherior]

90% of what you find when looking for "how to find the nullspace of A": HOW TO FIND A *BASIS* FOR THE NULLSPACE

[chat]

im gonna cry man. how did you make it so easy when everyone else ran circles around the actual

[Hivlik]

I like how you write your 5's. Efficient

[tarynamo]

THANK YOU!!! this made no sense in class and i immediately understood while watching your video!

[ningcheng]

Thanks for making this video and it's really helpful 👍

[CheezePro]

shit was fire! thanks so much for the help

[uaconcuathangio]

thank you, now I can do my homework :))

[mohdabdulghani]

I am wondering to know, about how many times we need to do the tow operation.

[chiraggupta]

why can you ignore the x3 and just make it x. Is it cause its just some value for the variable and it doesn't matter what you write it as?

[izgit]

Thanks 1 hr remaining to the exam and im learning it lol

[bhanupreetham]

so generally the independent variables span the null space right?, then the dimension of the null space will be no of independent variables

[kushshri]

Is column set with pivot variable is linearly independent ?

[dyllislee]

why is the 0.5 not changing to 0 for the last step of the reduced row echelom?

[mbenitez]

how does this relate to span of A & B without given an initial B matrix D;

[jordannzeocha]

what's the dimension of the null space of the matrix please

[bread]

4:16 Why is x_3 set to x_3? Why is it by itself?

[abhimanyusareen]

Oh my god okay so you just solve Ax=0 and that's it? Jesus why don't people say that in the start? 🙄