|
-
On average, Gail spends 3 hours a day at her job, 2 hours studying, an hour watching TV, and 8 hours sleeping. Kerry spends 2 hours watching TV, 3 hours studying, 2 hours working, and 7 hours sleeping. Brad spends 5 hours
a day working, 4 hours studying, and 6 hours sleeping.
- Put the information into a 3 by 4 matrix and label it.
- Transpose the matrix from problem 1a and attach labels.
- Adam works 12 hours a day and sleeps 7 hours. 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.
| 3x1 |
- |
x2 |
+ |
4x3 |
|
= |
|
11 |
| |
|
2x2 |
- |
x3 |
|
= |
|
3 |
| x1 |
- |
3x2 |
+ |
2x3 |
|
= |
|
-1 |
- 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
-
| 5x1 |
- |
x2
| |
= |
|
9 |
| 3x1 |
+ |
x2
| |
= |
|
7 |
|
