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This questions deals with Hill ciphers. The alphabet is considered modulo 26; that is, A=0,...,Z=25.
(a) The ciphertext TIOSID has been encrypted with a Hill cipher with matrix {1 2 } {4 7} (2 by 2 matrix). Decrypt the ciphertext and justify all the steps
(b) We want to encrypt the plaintext STUDENT FIRST NAME with the Hill cipher of Part (a); for instance, in my case I will need to encrypt the plaintext GUILLERMO. Give a ciphertext and justify all the steps. Note: Consider what you need to do if your first name doesn't have an even number of characters
(c)The ciphertext CIHOLINFO was encrypted by Hill cipher with a 3×3 matrix. The plaintext is SITCRYPTO. Find the encryption matrix M.
Describe the location of a number on the number line when (a) |x|
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A trough is 20 ft long and its ends have the shape of isosceles triangles that are 1.5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min, how fast is the water level rising when the wa..
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If an open box has a square base and a volume of 97 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
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