A four-digit PIN code is required for a bank's ATM card. An encrypted code is stored with the bank account instead of storing the card's PIN code. For example, the PIN code 1234 forms the code matrix [12]. The code matrix C is then multiplied by a key matrix K to obtain the encrypted matrix E. In other words, E = C.K. To determine the original PIN code from an encrypted code, the bank uses C = E·K-¹. Suppose the key matrix is given by [1] Determine the PIN code (in terms of a matrix) if the encrypted code is 4, 1, 4, 1.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A four-digit PIN code is required for a bank's ATM card. An
encrypted code is stored with the bank account instead of
storing the card's PIN code. For example, the PIN code 1234
1 21
4. The code matrix C is then
multiplied by a key matrix K to obtain the encrypted matrix E.
In other words, E = C.K. To determine the original PIN code
from an encrypted code, the bank uses C = E K−¹.
forms the code matrix [3
3
4
Suppose the key matrix is given by [1]
Determine the PIN code (in terms of a matrix) if the
encrypted code is 4, 1, 4, 1.
Transcribed Image Text:A four-digit PIN code is required for a bank's ATM card. An encrypted code is stored with the bank account instead of storing the card's PIN code. For example, the PIN code 1234 1 21 4. The code matrix C is then multiplied by a key matrix K to obtain the encrypted matrix E. In other words, E = C.K. To determine the original PIN code from an encrypted code, the bank uses C = E K−¹. forms the code matrix [3 3 4 Suppose the key matrix is given by [1] Determine the PIN code (in terms of a matrix) if the encrypted code is 4, 1, 4, 1.
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