Algebra 2 Companion Book, Volume 1

4.1 Review Worksheet

4.1.1 Matrices and Data 1.  Use the data to answer the questions. a. Display the data as a matrix, P .

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425.50 398.00 65.99 385.98 245.50 45.90 275.12 103.25 29.50

b. What are the dimensions of P ?

c. What is the entry at p 32 ? What does it represent?

d. What is the address of the entry 385.98?

Use the following matrices for Exercises 2-5. Add or subtract, if possible.

= −     

    

5.1 2.5 2 0 0 1.5

− −  

  

  

  

− 3.2 1 1.5 2.4

4.2 1 2.2 0

D

E

F

=

=

2. F − E

3. D + E

4. D + F

5. E + F

6.  The following table shows estimated college costs in 2004.

Estimated College Costs (per Year) in 2004 Private School In-State Public School Out-of-State Public School 19,188 Costs are expected to increase 5% per year. Use a scalar product to find the estimated costs for each type of college in 2005. Cost ($) 27,677 12,841

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