The Product of Two Nonzero Matrices can be the Zero Matrix!

We find a matrix B that satisfies AB=0 where A = [[1, 2][3, 6]].

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[erictovbin]

Nice! Thank you for all these awesome videos. :)

[sahil_-]

I am from India. Your explanation is great 👍😊. Love from india ❤️❤️❤️❤️❤️❤️🙏

[nikhilchalla]

Amazing video. Just have one question... Let's say we have A and need to find B such that A B = 0. Is there a name for matrix B?

[connerchaisson]

Thank you so much!! You just saved my butt haha

[Tomas-zvjs]

Everything makes sense to me except the end. Did you just randomly pick 1? Why did you pick 1?

[aarshjain]

But how to find when we have 3×3 matrix and given that AB=BA=O (null matrix)?

[yoav]

So if you are asked if the ring of matrices 2x2 is integral domain, you can answer no and give this example

[GM-CalculusAP-eezy]

You didn't point out that is true only because in matrix A, the 2nd row is twice the first.

[aneeshsrinivas]

Dr weselcouch, ive been wondering a question, are there any non0 functions such that the derivitive of that function is the laplace transform of the same function?

[souravde]

How to find such a matrix when your original matrix A is very large for say 110 by 110 matrix?

[moovashvani]

Can a matrix of order 3 be found such that when it is multiplied with another sqare matrix of the same order the product is a zero matrix?

[satyamsharma]

Should both be singular or only one needs to be?

[luisaleman]

Here's one vote in favor of keeping your new catchphrase.

[sing]

??? I don't understand
It confusing