Supplement__8_Matrices

# Supplement__8_Matrices - 5 4 11 13 7 9 Monkeys 2 0 3 4...

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Analytical Methods Name __________________________ Supplement 8- Matrices 1. Solve the following system using matrices. x x x x x x x x x x x x x x 1 2 3 4 1 2 3 4 1 3 4 2 3 4 3 2 4 5 0 2 + + + = - + - = - - + = + + = 2. A shoe manufacturer has factories in Los Angeles, Tucson, and Santa Fe. One year’s sales (in thousands) can be summarized by the following matrix. Deck Shoes Pumps Sandals Boots Los Angeles 23 8 10 5 Tuscon 11 5 10 15 Santa Fe 2 3 15 15 The selling prices of deck shoes, pumps, sandals, and boots are \$18, \$58, \$12, and \$76 respectively. Use matrix multiplication to determine the total revenue of each factory.

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3. Two pet stores merge and combine inventories. If the matrices below represent each store’s inventory before the merger, what will be the inventory after the merger? Lois’ Pet Shop Doug’ Pet Shop Males Females Males Females Dogs 8 11 10 14 Cats
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Unformatted text preview: 5 4 11 13 Birds 15 16 7 9 Monkeys 2 0 3 4. Solve for a and b : a b 9 7 3 14 L N M O Q P ⋅--L N M O Q P =-L N M O Q P 5. Calculate the product: [ ] 4 7 16 1 2 3 5 8 4 6 9 6. Solve for c and d : 2 1 9 0 5 7 3 3 6 11 13 4--L N M O Q P--L N M O Q P =-L N M O Q P c d . 7. A book company has two presses, and print runs for two years are given in the matrices below. 1996 1997 textbooks novels nonfiction Press 1 250,000 125,000 312,000 Press 2 60,000 48,000 90,000 textbooks novels nonfiction Press 1 190,000 100,000 140,000 Press 2 45,000 60,000 72,000 a. Calculate the matrix that represents the growth in production of each press from 1996 to 1997. b. Which type of book decreased the most in production?...
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Supplement__8_Matrices - 5 4 11 13 7 9 Monkeys 2 0 3 4...

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