Lesson 1 Contents Example 1Organize Data in a Matrix Example 2Dimensions of a Matrix Example 3Solve...
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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.](https://reader035.fdocuments.net/reader035/viewer/2022062217/5697bfc81a28abf838ca81e1/html5/thumbnails/1.jpg)
Example 1 Organize Data in a Matrix
Example 2 Dimensions of a Matrix
Example 3 Solve an Equation Involving Matrices
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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
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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.
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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
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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
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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.
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State the dimensions of matrix G if
Answer: 3 2
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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.
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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.
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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).
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Solve for x and y.
Answer: (2, 5)
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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.
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