Your Name: _______________________                                        Indicate Section: 61 or 62.

 

As a convenience, this answer template is provided if you wish to easily submit your work. Be sure to save it as a PDF before submitting online! Only one submission is allowed.

Parameterized Systems of Equations

Consider the following system of linear equations with two unknowns:

 

Text Box: Answer 2: The determinant of A is zero for these values of k.     _ _ _ _ and _ _ _ _Text Box: Answer 1: The determinant of A is: _ _ _ _   The code used was:

 

Question 3-4 Replace the given plot with your own for credit. Be sure the circles are colored red or yellow!

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 
 

Answer 6: In the case where , the fully reduced augmented matrix is: 

 

        ß replace matrix template with answer.

 

The number of solutions is: _ _ _ _ _

 

Text Box: Answer 5: In the case where k=-1, the fully reduced augmented matrix is:      RAM(–1)=[├ ■(*&* @ *&* )┤|  ■(*@*)]  ß replace matrix template with answer.    Is the system consistent?  _ _ _ _ _ _ _ _

 

 

 

 

 

 

 

 

 
 

Answer 7: In the case where , but is otherwise symbolic, the fully reduced augmented matrix is: 

                                               ß replace matrix template with answer.

 

The unique solution is:                     ß replace vector template with answer.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Question 8: Cramer's Rule!

 

Answer 8: The unique solution (in terms of k) using Cramer's rule is:

 

   _ _ _ _ _                                     _ _ _ _ _ 

 

Paste in your code for Cramer's rule below.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Questions 9 and 10: Cool animation!                                                                        (2 points)

 

Answer 9-10: The new K vector with the three pauses is:

 

K =

 

 

 

 

 


 

 

 

 

 

When your lab is complete, be sure to submit it as a PDF by the due date – this Thursday before 11:59PM. You have one more day, to submit the lab (but with a small penalty), and then the window closes for good and your grade will be zero. Only one submission is allowed per student.

 

    • 10 years ago