Using Matrices for Cryptography | Linear Algebra

Wrath of Math

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14 окт 2024

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Комментарии : 13

@WrathofMath 3 месяца назад

Join Wrath of Math to help me keep producing this course and to get access to the lectures notes used in the videos! ru-vid.com/show-UCyEKvaxi8mt9FMc62MHcliwjoin Linear Algebra course: ru-vid.com/group/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: ru-vid.com/group/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc

@jairoselin5119 3 месяца назад

Useful Sir. Thank you so much 😊🙏

@adoq 3 месяца назад

this is really cool

@WrathofMath 3 месяца назад

Agreed! Thanks for watching!

@jakeaustria5445 3 месяца назад

Is that secure? Can we reconstruct A using a set of encrypted messages?

@maxwellhunt3732 3 месяца назад

Definitely not, you could for example just send the basis vectors through to extract the matrix that was used for encryption exactly.

@jakeaustria5445 3 месяца назад

If we consider a matrix A that is mod n, does there exist a corresponding A inverse in mod n? The beauty of working mod n is that we don't get decimals but only integers.

@maxwellhunt3732 3 месяца назад

As long as you take it modulo a prime, you can have an inverse

@everlastsmiles 3 месяца назад

Can someone explain in detail how the matrix inversion works? I'm not understanding how he took the identity matrix and used that to get the inverse of A (I've never done matrix multiplication before, so I have no idea how it's done).

@WrathofMath 3 месяца назад

It's all covered in my linear algebra playlist! ru-vid.com/group/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Here is one on the specific inversion technique mentioned in this video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-_OTHALdXLmc.html&pp=gAQBiAQB