2.3 # 41:

Use the inverse method in Maple to solve the equations - convert to

To find the percent error for each x_i, look at the magnitude of the difference and divide by the value of x_i in the first system.

Assume that you intercept a number of items, as follows:

- The string of numbers: 5, 2, 25, 11, -2, -7, -15, -15, 32, 14, -8, -13, 38, 19, -19, -19, 37, 16
- The last word of the decoded message: _SUE
- The fact that 2x2 matrix was used in the Hill Cipher

I'll be posting responses to select ASULearn messages I receive from the class in the forum on ASULearn - so look there for hints and suggestions.

A Review of Various Maple Commands:

> A:=Matrix([[-1,2,1,-1],[2,4,-7,-8],[4,7,-3,3]]);

> ReducedRowEchelonForm(A);

> GaussianElimination(A);

> ConditionNumber(A);

> Vector([1,2,3]);

> B:=MatrixInverse(A);

> A.B;

> A+B;

> B-A;

> 3*A;

> A^3;

> evalf(M)

> spacecurve({[4*t,7*t,3*t,t=0..1],[-1*t,2*t,6*t,t=0..1]},color=red, thickness=2);

> implicitplot({2*x+4*y-2,5*x-3*y-1}, x=-1..1, y=-1..1);

> implicitplot3d({x+2*y+3*z-3,2*x-y-4*z-1,x+y+z-2},x=-4..4,y=-4..4,z=-4..4);