Consider the following system of equations for the growth of rabbits and foxes from year to year: R'=1.5R-0.2F+100 F'=0.3R+0.9F+50 Write this system in matrix form, where p = [R, F] and p' = [R', F']. Write a matrix equation for p^(3), the vector of rabbits and foxes after 3 years.

Consider the following system of equations for the growth of rabbits and foxes from year to year: R'=1.5R-0.2F+100 F'=0.3R+0.9F+50 Write this system in matrix form, where p = [R, F] and p' = [R', F']. Write a matrix equation for p^(3), the vector of rabbits and foxes after 3 years.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Consider the following system of equations for the growth of rabbits
and foxes from year to year:
R'=1.5R-0.2F+100
F'=0.3R+0.9F+50

Write this system in matrix form, where p = [R, F] and p' =
[R', F'].

Write a matrix equation for p^(3), the vector of rabbits and foxes
after 3 years.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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