1. Find the multiplicative inverse of 14 in GF(31) domain using
Fermat’s little theorem. Show your work.
2 Using Euler’s theorem to find the following exponential: 4200
mod 27. Show how you have employed Euler’s theorem here.
Q4. Find the multiplicative inverse of 14 in GF(31) domain using
Fermat’s little theorem. Show your work
Q5. Using Euler’s theorem to find the following exponential:
4200mod 27. Show how you have employed Euler’s theorem here
Use the factor theorem to show that x+2 is a factor of f(x). The
find all real zeroes for the polynomial given that x+2 is a factor
of f(x). f(x) = x^3 -5x^2 -2x +24
(2) A matrix A is given. Find, if possible, an invertible matrix
P and a diagonal matrix D such that P −1AP = D. Otherwise, explain
why A is not diagonalizable.
(a) A = −3 0 −5
0
2 0
2
0 3
(b) A = 2 0 −1
1
3 −1
2
0 5
(c) A = 1 −1 2
−1
1 2
2
2 2
MATLAB:
Attempting to use the inverse mapping approach and take a 3x3
matrix that will rotate an image. The image is 540 x 420.
attempting to write DOUBLE FOR LOOPS that will
step through each and every pixel location. I cannot use any
Toolbox Functions. Please write a double for loop that will allow
this to happen!
[xold,yold,k] = size(A);
Rotation = [cosd(angle) -sind(angle) 0 ; sin(angle) cos(angle)
0; 0 0 1];
InverseRotation = double(inv(Rotation));