Encrypted text:
"Gur erfg nyfb haqrejrag gur glcvpny Pnrfne pvcure. Due mekbt ru fhekt, yv edbo oek qhhqdwut jxu vebbemydw udshofjut cuiiqwu igkqhubo, qdt ydjuhfhujut yj jef je rejjec: jittixiyhqumieffeimwqhyiw"
By applying ROT13 to the above, you get the following (I used the following:
https://www.rot13.com/):
Decrypted text step 1:
"The rest also underwent the typical Caesar cipher. Qhr zrxog eh surxg, li rqob brx duudqjhg wkh iroorzlqj hqfubswhg phvvdjh vtxduhob, dqg lqwhusuhwhg lw wrs wr erwwrp: wvggvkvludhzvrssrvzjdulvj"
"The rest also underwent the typical Caesar cipher." If you Google "Caesar cipher", you would find out that Caesar used to encrypt his messages by rotating each letter forward by 3 positions. So if you rotate the letters in the rest of the message 3 positions back (or 23 positions forward), then you get the following (I used the following:
https://www.xarg.org/tools/caesar-cipher/. Set the key to 23.):
Decrypted text step 2:
"The rest also underwent the typical Caesar cipher. Neo would be proud, if only you arranged the following encrypted message squarely, and interpreted it top to bottom: tsddshsiraewsopposwgarisg
There are various hints as to what you need to do with that encrypted message.
- "Neo": This refers to the character in the movie "The Matrix". The hint here is the word "matrix", as you need to arrange the letters in a matrix.
- "squarely": This hints you to arrange the letters in a square.
- "interpreted it top to bottom": This tells you how you should read the text once arranged in a square.
If you count the number of letters then you would see that there are 25 letters - so they can be arranged in a 5x5 square. Arranging them so, left to right, top to bottom, you get the following:
t s d d s
h s i r a
e w s o p
p o s w g
a r i s g
Reading it from top to bottom, left to right, you get the final message:
thepasswordissidrowsapgg
The password is "sidrowsapgg", which is the solution to the whole puzzle.