Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve...
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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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Transcript of Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve...
Example 1 Organize Data in a Matrix
Example 2 Dimensions of a Matrix
Example 3 Solve 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
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.
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
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
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.
State the dimensions of matrix G if
Answer: 3 2
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.
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.
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).
Solve for x and y.
Answer: (2, 5)
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.
