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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 =

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