|
- On average, Heather spends 3 hours on homework, 4 hours watching TV,
and 8 hours sleeping each day. Reena watches 1 hour of TV, sleeps 6 hours,
and spends 5 hours doing homework. Edwin works on homework for an hour and
sleeps for 9 hours. Mark sleeps 7 hours a day, watches 3 hours of TV, and
spends 2 hours on homework.
- Put the information into a 4 by 3 matrix and label it.
- Transpose the matrix from problem and attach labels.
- If Edwin spends 5 hours a day with his computer and no one else works
on a computer daily, convert the matrix from problem into a 4 by 4
matrix and attach labels.
- What is the sum
 ?
- What is the product
 ?
- Find the inverse of the matrix
 .
- Give the two major steps needed to find the inverse of this matrix
OR actually find the inverse. (Only answer one of the questions.
Both questions are worth the same number of points, so it doesn't matter
which you answer).
- Construct a symmetric matrix and explain why it is symmetric.
- Solve this system using Gaussian elimination or Gauss-Jordan
elimination and tell which method you used.
| 2x1 |
+ |
x2 |
+ |
3x3 |
|
= |
|
11 |
| 4x1 |
- |
x2 |
+ |
2x3 |
|
= |
|
5 |
| |
|
3x2 |
+ |
2x3 |
|
= |
|
13 |
- Find the determinant of the matrix
- Label each of these systems as consistent or inconsistent. If the
system is consistent, further categorize it as underdetermined or uniquely
determined. Explain why each system is categorized as it is.
- Ax = b where
and
-
| 3x1 |
+ |
4.5x2 |
|
= |
|
6 |
| 2x1 |
+ |
3x2 |
|
= |
|
4 |
|
