| Using Matrices to Represent Data |
|
|
| |
| In the following problems, refer to matrices A, B, and C given below. |
 |
|
| |
1) What are the dimensions of matrix A?
Click here to view Matrix A, Matrix B, and Matrix C. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| |
|
| |
|
| 4) Which address is correct for entry “5” in matrix A? |
 |
|
|
| |
|
| |
|
| Equal matrices are given in the following problems. Write sentences of equality to solve for x and y. |
|
|
| |
| |
|
| |
|
| Adding and Subtracting Matrices |
|
|
| |
| |
In the following problems, perform the indicated matrix operations. If it is not possible, explain why. Just type the numbers row by row and don’t worry about the matrix symbol. Make sure to have the correct number of rows and columns.
Use matrices A, B, and C given below to solve the following problems. |
 |
|
| |
8) A + B = ?
Click here to view Matrix A, Matrix B, and Matrix C. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
9) B – A = ?
Click here to view Matrix A, Matrix B, and Matrix C. |
 |
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
10) A + C = ?
Click here to view Matrix A, Matrix B, and Matrix C. |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| For the following problems refer to this scenario and the tables below. The first table shows the teams with the three best records HALFWAY through baseball season. The second table shows the records for the three teams at the END of the season. |
 |
|
| |
| 11) Which set of matrices correctly displays the data in each table? |
 |
|
|
| |
|
12) What were the records for the second half of the season and which team had the best second-half season record? Express the answer in the form of a matrix stating the elements of each row, and then state the team that had the best second-half season record.
Hint: To find the records for the second half of the season, subtract. (End – Halfway) |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| |
| |
In the following problems, perform the indicated matrix operations. If it is not possible, explain why. Just type the numbers row by row and don’t worry about the matrix symbol. Make sure to have the correct number of rows and columns.
Use matrices A, B, and C given below to solve the following problems. |
 |
|
| |
13) –2C = ?
Click here to view Matrix A, Matrix B, and Matrix C. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
14) 2A – B = ?
Click here to view Matrix A, Matrix B, and Matrix C. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| |
| |
| In the following problems, find each product, if it exists. Type the answers row by row. Make sure to have the correct number of rows and columns. Write “not possible” if the product does not exist. |
|
|
| |
| 15) Find the product. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
16) Find the product.
Hint: Compare the rows and columns to determine the dimensions of the product matrix. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
17) Find the product.
Hint: Compare the rows and columns to determine the dimensions of the product matrix. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| For the following problems, refer to the given matrices A and B. Type the answers row by row. Make sure to have the correct number of rows and columns. Write “not possible” if the product does not exist. |
 |
|
| |
| 18) What is AB? |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 19) What is BA? |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 20) Explain why multiplication of matrices is NOT commutative. Reference the previous two problems to justify the answer. |
|
4000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| Refer to this scenario to answer the following problems. The track team sold t-shirts, sweatshirts and sweat pants for a fundraiser. T-shirts cost $12, sweatshirts cost $20 and sweatpants cost $15. The following table shows the amount of each item sold in the first two weeks. |
 |
|
| |
| 21) Which set of matrices correctly displays a matrix for the data in the table and a second matrix that can be used to multiply each item in the first matrix times the corresponding prices? |
 |
|
|
| |
|
| 22) Using matrix multiplication, calculate the amount raised each week. What was amount raised each week and what was the total amount raised? |
|
4000 character(s) left
Your answer is too long. |
|
| |
|
| |
23) Solve for x.
Click here to review the unit content explanation for Inequalities and Absolute Value Equations. |
 |
|
|
| |
|
| |
|
25) Simplify.
Click here to review the unit content explanation for Operations with Numbers and Exponents.
Hint: Remember that a negative exponent means to take the reciprocal. For the reciprocal of fractions, simply invert the fraction and write it to the positive power. |
 |
|
|
| |
|
26) Find “f – g”.
Click here to review the unit content explanation for Functions and Inverses of Functions. |
 |
|
|
| |
|
27) Solve the system of equations.
Click here to review the unit content explanation for Systems of Equations and Linear Inequalities.
Hint: Solve using elimination or substitution. |
 |
|
|
| |
|
| 28) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
|
| No offline activities found |
0 Hour(s) & 0 Minute(s)
|
|
|
Attachments |
|