MATLAB: A Practical Introduction to Programming and Problem Solving
MATLAB: A Practical Introduction to Programming and Problem Solving
5th Edition
ISBN: 9780128154793
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 14, Problem 27E
To determine

To create:

• The complex variables c1=13i,c2=5+2i and add them.

• The complex variables c1=13i,c2=5+2i and multiply them.

• The complex variables c1=13i,c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=13i,c2=5+2i and put them in polar form.

Expert Solution & Answer
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Answer to Problem 27E

Solution:

• The addition of c1=13i,c2=5+2i gives 6i.

• The multiplication of c1=13i,c2=5+2i gives 1113i.

• The complex conjugate and magnitude of c1=13i is 1+3i and 3.16, and for c2=5+2i is 52i and 5.38.

• The complex variables c1=13i,c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=13i,c2=5+2i and add them.

The given complex variables are,

c1=13i,c2=5+2i

Add them.

c1+c2=13i+(5+2i)=6i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  1

Therefore, the result is stated above.

• The complex variables c1=13i,c2=5+2i and multiply them.

The given complex variables are,

c1=13i,c2=5+2i

Multiply them.

c1×c2=(13i)(5+2i)=1113i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  2

Therefore, the result is stated above.

• The complex variables c1=13i,c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=13ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=52i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  3

Therefore, the result is stated above.

• The complex variables c1=13i,c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  4

Therefore, the result is stated above.

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