Matrices

You have five trees and the trees have 100, 600, 500, 200, 100 bugs on them. The trees on the end lose 10% and it never comes back. Then all of the trees lose 20% of the bugs to there adjacent trees. What is the answer after the first matrix.

Now when we need to find the first row.

Row 1: The first line for row 1.

You see what % you have left after you get ride of some %. You get ride of 10% and 20%, then you add them together and get 30%. Then you subtract 30% from 100% to get 70%. That makes it .7.

The second line for row 1.

You see what % of the second tree gives to the first tree. It gives it 20% so that makes it .2.

The third line for row 1.

You see what % of the third tree gives to the first tree. It does not give any to the first tree. So that makes it 0.

The forth line for row 1.

You see what % of the four tree gives to the first tree. It does not give any to the first tree. So that makes it 0.

The fifth line for row 1.

You see what % of the fifth tree gives to the first tree. It does not give any to the first tree. So that makes it 0.

Row 2: The first line for row 2.

You see what % of the first tree gives to the second tree. It gives 20% and that makes it .2.

The second line for row 2.

You see what % you have left after you get ride of some %. You get ride of 20% and 20% then you add them together and get 40%. Then you subtract 40% from 100% to get 60%. That makes it .6.

The third line for row 2.

You see what % of the third tree gives to the second tree. It gives 20% and that makes it .2.

The forth line for row 2.

You see what % of the forth tree gives to the second tree. It does not give any to the second tree. That makes it 0.

The fifth line for row 2.

You see what % of the fifth tree gives to the second tree. It does not give any to the second tree. That makes it 0.

Do the same process for row 3, row 4, and row5.

Here is what the matrix looks like.

Here is how you find the new trees. You multiply row1 by the old trees. Then you add the multiplied numbers T1, T2, T3, T4, T5 to get the new T1. Then you multiply row T2 by the old trees. Then you add the multiplied numbers T1, T2, T3, T4, T5 to get the new T2. Do this for T3, T4, T5.