SOLUTION: What are the dimensions of the product of a 2 x 3 matrix and a 3 x 4 matrix? You bought ten carnations and five daisies for a total of $12.50. Later that day you bought five

Algebra ->  Matrices-and-determiminant -> SOLUTION: What are the dimensions of the product of a 2 x 3 matrix and a 3 x 4 matrix? You bought ten carnations and five daisies for a total of $12.50. Later that day you bought five      Log On


   



Question 175882: What are the dimensions of the product of a 2 x 3 matrix and a
3 x 4 matrix?

You bought ten carnations and five daisies for a total of $12.50. Later
that day you bought five carnations and eight daisies for a total of
$11.75. Find the price of each carnation and of each daisy.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What are the dimensions of the product of a 2 x 3 matrix and a
3 x 4 matrix?
---
The dimension of the product is 2 x 4
----------------------------------------------
You bought ten carnations and five daisies for a total of $12.50. Later
that day you bought five carnations and eight daisies for a total of
$11.75. Find the price of each carnation and of each daisy.
-------
Equations:
10c + 5d = 12.50
5c + 8d = 11.75
---------------------
Multiply 2nd by 2 to get:
10c + 16d = 23.50
-----
Subtract 1st from that to get:
11d = 11
d = $1 (Price of a daisy)
------------
Substitute to solve for "c":
10c + 5 = 12.5
10c = 7.50
c = 0.75 (price of a carnation)
==================================
Cheers,
Stan H.