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Example 1 Organize Data in a Matrix Example 2 Dimensions of a Matrix Example 3 Solve an Equation Involving Mat rices

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Page 1: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

Example 1 Organize Data in a Matrix

Example 2 Dimensions of a Matrix

Example 3 Solve an Equation Involving Matrices

Page 2: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

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 university’s total cost is lowest?

Iowa State University:T - $3132 R/B - $4432 E - 26,845

University of Iowa:T - $3204 R/B - $4597 E - 28,311

University of Northern Iowa:T - $3130 R/B - $4149 E - 14,106

Page 3: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

Organize the data into labeled columns and rows.

ISU

UI

UNI

T R/B E

Answer: The University of Northern Iowa has the lowest total cost.

Page 4: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

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 restaurant’s 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

Page 5: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

The Burger Complex has the best price for hamburgers and cheeseburgers. Lunch Express has the best price for chicken sandwiches.

Answer:

Burger Complex

Lunch Express

HamburgerMeal

Cheese-burgerMeal

ChickenSandwich

Meal

Page 6: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

State the dimensions of matrix G if

4 columns

2 rows

Answer: Since matrix G has 2 rows and 4 columns, the dimensions of matrix G are 2 4.

Page 7: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

State the dimensions of matrix G if

Answer: 3 2

Page 8: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

Solve for x and y.

Since the matrices are equal, the corresponding elements are equal. When you write the sentences to solve this equation, two linear equations are formed.

Page 9: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

Second equation

This system can be solved using substitution.

Substitute 3x – 2 for y.

Distributive Property

Add 4 to each side.

Divide each side by 7.

Page 10: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

To find the value for y, substitute 1 for x in either equation.

Substitute 1 for x.

First equation

Simplify.

Answer: The solution is (1, 1).

Page 11: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

Solve for x and y.

Answer: (2, 5)

Page 12: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.

Page 13: Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve an Equation Involving Matrices

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