[SOLVED] Control System-Homework 1

Description

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

• z2 = A*B,
• z3 = A.*B
• z4 = A^3,
• z5 = A.^3
• z6 = [A([1,3],:);B^2]
• z7 = a vector contains eigenvalues of B
• 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: