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.