Solve them all a) Find all m > 1 such that 27 = 9 (mod m).[1 0 1]b) If A = 0 1 1 is a zero-one matrix, find A AA[2].|1 0 0b) Find the inverse of the encrypting functionf(x) = (5 – x) mod 26,0 < x< 25,and use it to decrypt the message "ZRQUBFNB".

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a) Find all m 2 1 such that 27 = 9 (mod m).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.4: Similarity And Diagonalization

Problem 50EQ

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Question

Solve them all

a) Find all m > 1 such that 27 = 9 (mod m).
[1 0 1]
b) If A = 0 1 1 is a zero-one matrix, find A AA[2].
|1 0 0
b) Find the inverse of the encrypting function
f(x) = (5 – x) mod 26,0 < x< 25,
and use it to decrypt the message "ZRQUBFNB".

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