MATLAB Week 6

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Genaro Rivera
October 21, 2022
MATLAB For Loop (Week 6)

For Loop

This week, I decided to focus on the for loop. The for loop has special features. The for loop repeats a specified number of times. For example, above the ee = 3:6 states to go from 3 through 6 in increments of one. X(ee) extracts the term corresponding to the ee value from the row vector (if ee was 3 it extracts the 3rd term from the row vector, if ee was 4 it extracts the fourth term from the row vector, etc…). The for loop repeats this process until ee runs out of values (in this case after ee = 6). Regarding the English counterparts, this makes sense; read it as the English language. For ee = 3 will equal 3*2 and so on. Below is a table that goes over each induvial step.

Step Number

ee

X(ee)

1

3

[0 0 6]

2

4

[0 0 6 8]

3

5

[0 0 6 8 10]

4

6

[0 0 6 8 10 12]

Nested For Loop

The nested loop function is the same, except two for loops exist. An outer loop and inner loop exist. The outer loop is the first for loop. The inner loop is the second for loop. MATLAB recognizes the first outer loop and realizes that it must repeat a specified number of time (in this case the first for loop goes from 1 through 4). In addition, MATLAB recognizes the second for loop and realizes that it must repeat a specified number of times (here, bb depends on aa). MATLAB completes the second loop before going back to the first loop. Above is an example. Firstly, fact =zeros(1,4) means that a matrix of only zeros ranging from 1 row to 4 columns generates ([0 0 0 0] AKA row vector). Secondly, we defined aa as going from 1 through 4 meaning that aa will repeat 4 times, a specified number of times (aa = 1, aa= 2, aa=3, and aa=4). Thirdly, P will always equal one following aa. Fourthly, bb will go from 1 through aa repeating aa number of times, a specified number of times (bb = 1:1, bb = 1:2, bb = 1:3, and bb = 1:4). Remember, bb ends when the specified number of steps end. If bb=1:1 it will end in 1 step and if bb=1:2, it will end in 2 steps. It then multiplies bb by P(P will always be 1) and creates a new value for P. At each of the for steps, bb must complete its own loop before ending, where MATLAB continues the first loop if more steps are necessary. Lastly, after MATLAB completes the bb for loop, it extracts the number aa term, from the previously defined fact row vector, and sets it equal to P. Below is a table with the values at each step. I will not include the step number since the inner and outer loops make it unclear on separating into steps. Also, the spaces in aa and Fact are there because bb is in the process of repeating and creating new values while aa and Fact are held fixed waiting for bb to complete its loop.

 

aa

bb

P

Fact

Not defined yet

Not defined yet

Not defined yet

[0 0 0 0]

1

1

1

[1 0 0 0]

2

1

1

 

 

2

2

[1 2 0 0]

3

1

1

 

 

2

2

 

 

3

6

[1 2 6 0]

4

1

1

 

 

2

2

 

 

3

6

 

 

4

24

[1 2 6 24]

 

Application (multiplication table)

An application of the for-loop function is creating a multiplication table with a user defined number of rows and columns. The input function allows the user to choose how many rows and columns they want to display. Here, I chose 9. Using the same rules and logic as previously described, MATLAB creates a multiplication table as you can see in the image above. 



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