Applied 40S February 13, 2009

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Matrices Workshop ... Studying for Discrete Math

Transcript of Applied 40S February 13, 2009

Matrices Workshop ...

Studying for Discrete Math

Create a “route matrix” for the network digram below.

If the matrix above represents “bus route” connections. Find the fewest number of buses you would need to take to get from A to B. Show all matricies used in finding your answer.

Given the connectivity matrix below. Construct a directed network diagram.

The Manitoba

Moose

Gwan. Check me. I dare ya.

moose by flickr user grizzbass

If a train is late on one day, there is a 90% probability that the same train will be on time the next day, while if the train is on time, there is a 20% chance it will be late the next day. If in a given week it arrives on time on Monday, compute the probabilities that it will be on time or late for each of the subsequent days of the week. What would the corresponding probabilities have been if the train had been late on the Monday?

HOMEWORK

To reduce traffic congestion a city planner proposed the conversion of some downtown streets to one-way streets. The new plan is below.

(a) Construct a network matrix to represent the new plan.

(b)Determine the number of ways a tourist could get from the Art Gallery to the Tourist Centre and see exactly 3 sites along the way.

Library Museum City Hall Water Park

Tourist CentreCourt HouseArt Gallery

HOMEWORK

Solve for x and y. HOMEWORK