Cryptology

Suppose that the ADFGVX square is: _ A D F G V X A F L 1 A 0 2 D J D W 3 G U F C I Y B 4 P G R 5 Q 8 V E V 6 K 7 Z M X X S N H O T 9 and that they keyword is : GERMAN Decipher: AFAXA XAFGF XDDAV DAGGX FGXDD XVVAV VGDDV FADVF ADXXX AXA

Cipher Disk and Enigma

Why did the Alberti Cipher disk have numbers on it? Describe how the disk was used. What made it secure? What was the impact of this disk on Cryptology? How does enciphering and deciphering differ on the Enigma? What weakness in the Enigma did the Poles use to break Enigma ciphers?

Combination

How many ways can you select a committee of 4 men from among 8 people?

orthogonal matrix

Dtermine whether or not the fllowing matrix A= 5 0 2 0 5 0 2 0 5 is diagonalizable. If it is, then determine P'-1(P inverse)AP.

orthogonal matrix

Verify that P= 2/3 -2/3 1/3 2/3 1/3 -2/3 1/3 2/3 2/3 is orthogonal matrix.

Orthogonal Matrix

Show that if A is an orthogonal matrix, then detA=1 or detA=1

diagonal matrix

Diagoalize te given matrix: A= 3 1 1 1 0 2 1 2 0 an find an orthogonal matrix P such that P'-1(Pinverse)AP is diagonal.

Quadratic Surface

Sketch the following quadratic surface, showing the old and new coordinate systems, and identify it: Please see attachment for equation

RSA Problem

Fill in the blank choose public or private Alice chooses two large ____numbers p and q. She finds their product m = pq, which is public or private. She also finds n= (p-1)(q-1) which is pudblic or private. She chooses e which is ___________and finds d=___. The number e is public or private. and the number d is publ ...continues

Adjoint differential operator

Find the adjoint differential operator L* and the space on which it acts if: Lu = u"+au'+bu Where u(0)=u'(1) u(1)=u'(0) Lu = -[p(x)u']'+q(x)u Where u(0)=u(1) u'(0)=u('1)