Lab 1: Examples and Additional Problems, Lab Reports of Linear Algebra

Examples and additional problems from lab 1 of a computer science or engineering course. Students are encouraged to work through the examples and understand the output obtained from executing the given commands. The document also includes a problem about finding the number of mosquitoes in a ten-acre region based on a given function. The students are required to find the number of mosquitoes at specific hours and check if there is any restriction on the time variable.

Typology: Lab Reports

Pre 2010

Uploaded on 08/26/2009

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LAB 1
Name: _________________________
This lab contains example problems for you to work on from the Lab 1 module as
well as new problems using the commands given in Lab 1.
Note: Before typing any of the numbered command examples given below from
the corresponding sections of Lab 1, please read the materials preceding them in
the Lab module. After typing the commands make sure you understand the
output obtained as a result of executing that particular command. Some of the
examples reference previous commands and hence you should exercise caution
in this case – you may need to type the previous command as well! This is
especially true when you use variables that have been assigned some value
earlier. When in doubt get help from the instructors.
Examples from Lab 1 Module
Example 1: 1.3.2.1
Note: 1.3.2.1 means command number 1 under section # 1.3.2.
Example 2: 2.1.4
Note: 2.1.4 means command number 4 under section # 2.1
Example 3: Use command example 2.4.14 to find the dimensions of the matrix in
Example 2.
Example 4: 2.5.21
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LAB 1

Name: _________________________

This lab contains example problems for you to work on from the Lab 1 module as well as new problems using the commands given in Lab 1. Note: Before typing any of the numbered command examples given below from the corresponding sections of Lab 1, please read the materials preceding them in the Lab module. After typing the commands make sure you understand the output obtained as a result of executing that particular command. Some of the examples reference previous commands and hence you should exercise caution in this case – you may need to type the previous command as well! This is especially true when you use variables that have been assigned some value earlier. When in doubt get help from the instructors. Examples from Lab 1 Module Example 1: 1.3.2. Note: 1.3.2.1 means command number 1 under section # 1.3.2. Example 2: 2.1. Note: 2.1.4 means command number 4 under section # 2. Example 3: Use command example 2.4.14 to find the dimensions of the matrix in Example 2. Example 4: 2.5.

Example 5: Use command example 2.6.23 to evaluate the function g at 4.2. Additional Problems

  1. Assign the name x to the number p/3 and then find a decimal approximation for the

following: x^6 , 9 x and 2 tan^ x .

  1. Suppose the number of mosquitoes in a ten-acre region is given by f ( t ) 60 t^2  12 t  25  t^2 , where t is the time measured in hours after sunset. a) Find the number of mosquitoes at t = 0, 0.1, 0.2, 1 hours. b) Do you have to place any restriction on t so that f(t) is meaningful? Hint: Enter the function f as a separate m-file with the name f.m and find f(0), f(0.1), etc.