Math 205b Quiz 01 - Bates College, 2009
ADVERTISEMENT
1Quiz 01 page 1
09/18/2009
Math 205B
Name
6 13
8
1. Consider the augmented matrix A =
.
10 20 30
1A. What system of linear equations is represented by A?
1B. Find the reduced row echelon form (rref) of A by hand, showing all the matrices produced along the way. Say what
each elementary row operation was used to produce each new matrix from the previous one.
1C. What is the solution of the system in part 1A?
2 1 13 12
2. Consider the system of equations whose augmented matrix is B =
1 0
5
7
.
3 4 27 12
Find all the solutions of the system using the methods and notation we’ve developed in class. If there are no solutions,
explain why. Otherwise, give a specific solution and show it satisfies the first equation the augmented matrix represents.
(Use your calculator to find rref(B)).
2 1 13 12 10
3. Now consider the system of equations whose augmented matrix is C =
1 0
5
7
6
.
3 4 27 12 14
Again, find all the solutions of the system using the methods and notation we’ve developed in class. If there are no solutions,
explain why; otherwise, give a specific solution and show it satisfies the first equation the augmented matrix represents. (Use
your calculator to find the rref).
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education