Lesson 1 Contents

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Lesson 1 Contents
Example 1 Organize Data in a Matrix Example
2 Dimensions of a Matrix Example 3 Solve an
Equation Involving Matrices
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Example 1-1a
College Kaitlin wants to attend one of three
Iowauniversities next year. She has gathered
informationabout tuition (T), room and board
(R/B), andenrollment (E) for the universities.
Use a matrix toorganize the information. Which
universitys total cost is lowest?
Iowa State UniversityT - 3132 R/B - 4432 E -
26,845 University of IowaT - 3204 R/B -
4597 E - 28,311 University of Northern IowaT
- 3130 R/B - 4149 E - 14,106
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Example 1-1b
Organize the data into labeled columns and rows.
Answer The University of Northern Iowa has the
lowest total cost.
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Example 1-1c
Dining Out Justin is going out for lunch. The
information he has gathered from the two
fast-food restaurants is listed below. Use a
matrix to organize the information. When is each
restaurants total cost less expensive?
Burger Complex Lunch Express
Hamburger Meal 3.39 Hamburger Meal 3.49
Cheeseburger Meal 3.59 Cheeseburger Meal 3.79
Chicken Sandwich Meal 4.99 Chicken Sandwich Meal 4.89
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Example 1-1d
The Burger Complex has the best price for
hamburgers and cheeseburgers. Lunch Express has
the best price for chicken sandwiches.
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Example 1-2a
Answer Since matrix G has 2 rows and 4 columns,
the dimensions of matrix G are 2 ? 4.
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Example 1-2b
Answer 3 ? 2
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Example 1-3a
Since the matrices are equal, the corresponding
elements are equal. When you write the sentences
to solve this equation, two linear equations are
formed.
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Example 1-3b
This system can be solved using substitution.
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Example 1-3c
To find the value for y, substitute 1 for x in
either equation.
Answer The solution is (1, 1).
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Example 1-3d
Answer (2, 5)
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Transparency 1a