A farmer sells organic zucchini, yellow squash, and corn in two different roadside stands. Matrix Q represents the number of pounds of each type of vegetable sold at each stand. Matrix P gives the price per pound of each item. Find the product Q P and interpret the result. Yellow Zucchini squash Corn Q = 42 40 84 30 36 90 Stand 1 Stand 2 P = $ 4.00 $ 3.40 $ 4.20 Zucchini Yellow squash Corn
A farmer sells organic zucchini, yellow squash, and corn in two different roadside stands. Matrix Q represents the number of pounds of each type of vegetable sold at each stand. Matrix P gives the price per pound of each item. Find the product Q P and interpret the result. Yellow Zucchini squash Corn Q = 42 40 84 30 36 90 Stand 1 Stand 2 P = $ 4.00 $ 3.40 $ 4.20 Zucchini Yellow squash Corn
Solution Summary: The author calculates the product, QP, and interprets it. The matrix represents the total revenue from two different stands.
A farmer sells organic zucchini, yellow squash, and corn in two different roadside stands. Matrix
Q
represents the number of pounds of each type of vegetable sold at each stand. Matrix
P
gives the price per pound of each item. Find the product
Q
P
and interpret the result.
Yellow
Zucchini
squash
Corn
Q
=
42
40
84
30
36
90
Stand 1
Stand 2
P
=
$
4.00
$
3.40
$
4.20
Zucchini
Yellow squash
Corn
You have space in your garden for 55 small flowering bulbs. Crocus bulbs cost $0.55 each and daffodil bulbs cost $0.95 each. Your budget allows you to spent $41.85 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy? Write a system of equations to represent the situation. Solve using matrices. Write the matrix and inverse equations.
Please be detailed with your solution. Provide explanation if possible. Thanks.
Determine if the columns of the matrix form a linearly independent set.
Justify your answer.
-2 -1
0 - 1
3
1
1
-6
2
1 - 12
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