For the following Leslie matrix , find an approximate expression for the population distribution after n years , given that the initial population dis

Cheyanne Leigh 2021-02-02 Answered
For the following Leslie matrix , find an approximate expression for the population distribution after n years , given that the initial population distribution is given by X(0)=[20004000],Ln=[0.80.41.20]
Select the correct choice below and fill in the answer boxes to complete your choise.
a)X()()n[1()]
b)X()n[1()]
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

berggansS
Answered 2021-02-03 Author has 91 answers
Step 1
Every matrix has 2 attributes, rows and columns, if a matrix A is represented as Amxn, then m represents the number of rows and n represents the number of columns present in the matrix. In order to add two matrices, A and B, the number of columns of matrix A should be equal to the number of rows of matrix B.
Two or more matrices can be used to solve linear equations by equating, using row or column operations in order to reduce the matrix and there are a lot of other ways as well. Identity matrix is a special kind of matrix with only 1 on its diagonal elements.
Step 2
Given Leslie Matrix:
Ln=[0.80.41.20]
The initial value population distribution is given by:
X(0)=[20004000]
The population distribution during the nth time period is given by
Xn=LnX(0)
Xn=[0.80.41.20]n[20004000]
=[0.80.41.20]n2000[112]
Xn=2000[0.80.41.20]n[112]
Xn=2000[0.80.41.20]n[10.5]
Hence,the correct option is Option A.
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-01-30 Author has 2087 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more