Starting from:

$25

Control System-Homework 1 Solved

1.     Basic Arithmetic

Please calculate the following equation and store to variable z1 

  

I : identity matrix.

 

2.     Matrix/Vector We know that

                                                                                    12     34     −4

                                                                        A = [34        7        87]

                                                                                     3       65       7

                                                                                         1     4     7

B = [2 5              8] 3       6            9

Find

(a)   z2 = A*B,  

(b)   z3 = A.*B

(c)   z4 = A^3,  

(d)   z5 = A.^3

(e)   z6 = [A([1,3],:);B^2]

(f)    z7 = a vector contains eigenvalues of B

(g)   z8 = determinant of A

 

3.     Equation Solving

  

Solve x1, x2, x3. Then change 0.52 to 0.53 and solve again.

 

4.     Loop statement

Please create a 9*9 Hilbert matrix

        Reference: https://en.wikipedia.org/wiki/Hilbert_matrix 

 

 

5.     Plot

Please plot the following equation in one figure, with eq1 on the left and eq2 on the right. Eq1:

  

Eq2:

  

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