Shortcut to find adjoint of 3by3 matrix

Shortcut to find adjoint of 3x3 matrix
This video will teach you how to find adjoint in modular arithmetic very easily and quickly.
Finding the adjoint of given matrix in modular arithmetic is useful while doing decryption in HILL cipher algorithm.
This video will be also useful to find inverse of 3x3 matrix because we need to find adjoint of 3x3 matrix when we find inverse of 3x3.
It is very time consuming to find inverse and adjoint of 3x3 matrix, using this method it will be very quick and easy to find both inverse and adjoint of given 3x3 matrix very easily.
Students can also follow the normal method for finding the inverse and adjoint and check whether their answer is right or wrong using this shortcut method to find adjoint and inverse of given 3x3 matrix.
This video can also be useful to students to find inverse and adjoint of given 3x3 matrix in GATE examination.
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Shortcut to find adjoint of 3x3 matrix

[premnathkulal]

For -ve numbers we also done by keep on adding 26 until we get first +ve number
ex:
for -99
-99 + 26 = -73
-73 + 26 = -47
-47 + 26 = -21
-21 + 26 = 5
so 5 is the answer

[rushangshah]

Rem for -343 is 21
Rem for -47 is 5
Rem for -99 is 5
Rem for -216 is 18
Done sir 😀

[TheSmith]

The video is great, contains useful information for someone who wanna find the adjoint of 3x3 matrix, as the title suggested. However, the result of finding "-343 mod 26" is wrong, as the result supposed to be -5 instead of 21. I hope you can correct the mistakes in the future

[seharrubab]

Thanks sir g bohat acha samj aya 🥰🥰🥰🥰🥰🥰

[kandarppanda]

Remainder for -216 is 18
Remainder for -99 is 5
Remainder for -47 is 5
Thanks sir from this method we can get the answer very easily

[sialuk]

How does one calculate this

Question : An affine cipher E(x) = ax + b (mod 26) encrypts plaintext er as ciphertext J *, where * represents some cipher text letter.
a. Find the value of *, i.e., what is the encryption of r?

[hackerdepth]

N=Q.M+R for 9 is 5
N=Q.M+R for 47 is 5
N=Q.M+R for 216 is 18

[shanusharma]

Sir I am confused this matrix 8, 5, 10, 21, 8, 21, 21, 12, 8 ye kha SE aayi hai sir..plz explain I am not understand this matrix.

[tpavankumar]

Sir in encryption of hill cipher can directly multiply with p(plain text) after conversation into matrix, in description we do inverse to (k)

[kpoornimaghsnallur]

Thank you for u video sir..but i have got a negative of 14 which is less than 26 how i will be able to find the right answer for this?

[pushpalathakamsala]

Sir you told modulus operation number is 26 right?but how it comes?

[pranavmaninda]

It's better to calculate in the routine method ultimately finding 9 determinants at the end

[elakkiyame]

hi frds,
If the determine value is negative (eg.-939) .then how to find a inverse of -939. please tell me

[anjalisolanki]

remainder for  -99 :5   remainder for -47: 5    remainder  for -216:20

[meghthakkar]

r for -99 is 5, for -47 is 5 , for -216 is 18

[elakkiyame]

1/-939 is the determined value then how to find inverse?

[tpavankumar]

In description after finding k inverse we can do mod 26

[scxdb]

This being an adjoint matrix, you have used it as the inverse matrix in hill cipher.

[patelprince]

what to do if negative value is less than 26 ?

[shikhamepani]

for -99 is 5
for -47 is 5
for -216 is 18