# Simple matrix question

1. Mar 27, 2006

### John O' Meara

Departure comfort Excursion Economy
10:00 , 15 , 35 , 60
12:30 , 12 , 40, 70
16:00 , 8 , 50, 35
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Price£, 70, 35 , 30

The table shows the number of passengers on three flights to Paris in 3 classes and the price of a ticket for each class. Construct three matrices to represent this information, and use them to obtain (a) the total number of passengers on the 12:30 flight, (b) the revenue from each flight.
I cannot see 3 matrices only two, the price matrix and the number of passengers on the three flights. Much Thanks guys.

Last edited: Mar 27, 2006
2. Mar 27, 2006

### HallsofIvy

Staff Emeritus
Obviously, to get (b) you multiply the "number of passengers" matrix by the "price" matrix. In order to get (a), the total number of passenger on the 12:30 flight, you will need to multiply the "number of passengers" matrix by a third matrix: "number of passengers" matrix times a simple column matrix will give a matrix the entries of which are the total number of passengers in each flight.