ii) Find the particular solution showing the amount of deer at a particular time given that 100 deer were released in 2010 (i.e. year zero) S O D= 5e0.5t + 95 O D= 25e°.5t + 75 OD=10e05t +90 O D= 50e0.5t +50 iii) Compute the predicted size of the deer population in the year 2021? D = b) Given the matrix E = [} 1 2 Find all the eigenvalues and eigenvectors of the matrix, giving your answer below in ascending order of the values of 2. E.g. 2=0 and v' = (1, 1)k %3D 2=1 and v' = (1, 0)k Enter your answers here. Be sure to enter your vectors correctly with the signs as well! and v = Dk and yT %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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ii) Find the particular solution showing the amount of deer at a particular time given that 100 deer were
released in 2010 (i.e. year zero) S.
O D= 5e0.5t+95
O D= 25e0.5t + 75
OD= 10e05t +90
O D= 50e0.5t +50
iii) Compute the predicted size of the deer population in the year 2021? D =
b) Given the matrix
1
Find all the eigenvalues and eigenvectors of the matrix, giving your answer below in ascending order of the
values of 2.
E.g.
2= 0 and v' = (1, 1)k
2=1 and v' = (1, 0)k
Enter your answers here. Be sure to enter your vectors correctly with the signs as well!
and y =
Dk
and v' =
Transcribed Image Text:ii) Find the particular solution showing the amount of deer at a particular time given that 100 deer were released in 2010 (i.e. year zero) S. O D= 5e0.5t+95 O D= 25e0.5t + 75 OD= 10e05t +90 O D= 50e0.5t +50 iii) Compute the predicted size of the deer population in the year 2021? D = b) Given the matrix 1 Find all the eigenvalues and eigenvectors of the matrix, giving your answer below in ascending order of the values of 2. E.g. 2= 0 and v' = (1, 1)k 2=1 and v' = (1, 0)k Enter your answers here. Be sure to enter your vectors correctly with the signs as well! and y = Dk and v' =
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