4. Matrix models can be used to describe the flow of certain toxins , like lead, betweencompartments of a biological system. For example, lead enters the human body by inhaling oringesting lead particles. These particles are diffused into the tissue such as kidney and liver andinto the bloodstream.Let Xn represent the amount of lead in the blood ( in micrograms ) and let Yn represent theamount in the tissue at the start of a certain month.A model for calculating the levels a month later is given by (*1) = ( 02) )(Xn+1Yn+1.Answer these questions , use the next blank page for your work. Only write the answers here.a. Find the fraction of lead in the system that will be in the blood and in the tissues in the long run .b. Find a formula that gives the amount Xn and Yn for any month. Since you do not have an initialcondition, you will find equations that measure the amounts for any starting value.Xn =Yn =

Answered: Image /qna-images/answer/52d36f00-6496-45a3-a2e1-bf73fad6bbe8.jpg

4. Matrix models can be used to describe the flow of certain toxins , like lead, between compartments of a biological system. For example, lead enters the human body by inhaling or ingesting lead particles. These particles are diffused into the tissue such as kidney and liver and into the bloodstream. Let Xn represent the amount of lead in the blood ( in micrograms ) and let Yn represent the amount in the tissue at the start of a certain month. .04) (X, .04 .02. 39 A model for calculating the levels a month later is given by (*1) = ( 05) \Yn+1. Answer these questions , use the next blank page for your work. Only write the answers here. a. Find the fraction of lead in the system that will be in the blood and in the tissues in the long run . b. Find a formula that gives the amount Xn and Yn for any month. Since you do not have an initial condition, you will find equations that measure the amounts for any starting value. Xn = Yn =

4. Matrix models can be used to describe the flow of certain toxins , like lead, between compartments of a biological system. For example, lead enters the human body by inhaling or ingesting lead particles. These particles are diffused into the tissue such as kidney and liver and into the bloodstream. Let Xn represent the amount of lead in the blood ( in micrograms ) and let Yn represent the amount in the tissue at the start of a certain month. .04) (X, .04 .02. 39 A model for calculating the levels a month later is given by (*1) = ( 05) \Yn+1. Answer these questions , use the next blank page for your work. Only write the answers here. a. Find the fraction of lead in the system that will be in the blood and in the tissues in the long run . b. Find a formula that gives the amount Xn and Yn for any month. Since you do not have an initial condition, you will find equations that measure the amounts for any starting value. Xn = Yn =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 10.Solve the given (matrix) linear system: 1 21 [1 X' 13 %3D

Q: find the inverse matrix

A: As per the question, we have to form a 3×3 matrix, given the unique symmetrical elements of YBUS(s)…

Q: Explain the conditions, how to find a fundamental matrix for the system?

Q: Suppose that 60% of the people who own a GM car buy a GM car for their next vehicle. Also, suppose…

Q: 20. The following are rules of transposition of a matrix except: (explain) a. (A")" = A b. (A + B)"…

Q: Let A = - 2 1 0 1 0 1 2 -3 1 A is a…

A: trace is the sum of all diagonal elements of the matrix.

Q: 1.) Let A = Obtain a matrix that is similar to A.

Q: How can the position in a matrix (i=1,j=1) be started?

Q: Suppose A is a 8x4 matrix such that rank(A) = 3. Find dim(col(A)-). dim(col(A)+) =

A: To find: dimcol(A)⊥ Given information: A is 8×4 matrix such that rank(A)=3. Concept used:…

Q: 2. Describe the geometry of the linear transformation represented by each matrix. Explain. 3 0 a. ^=…

A: Follow the steps.

Q: True or false. Please explain your answer. Let A and B be two nxn matrices. a) b) c) d) If B is a…

A: Let A be a mxn matrix, To Check and explain: whether the following statements are correct or not.…

Q: Disprove that the rank of a matrix is equal to the number of nonzero rows.

Q: 19.

Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

Q: For the matrixA=daig(-2,-1,2), put the following values in increasing order: det(A), rank(A),…

A: Given the matrix A=daig(-2,-1,2) is diagonal matrix Therefore the eigen values of A are -2, -1, 2.

Q: Q/If you have the triple matrix below The inverse of matrix (A): 0.885 0.473 0.781 (A) = 2.047 0.973…

A: Sol:- 0.8850.4730.7812.0470.4780.1570.9730.8950.715-1Augment with a 3x3 identity…

Q: Q1: The following is a 30x2 matrix that shows the test marks of students in a class, where the…

A: Given a 30×2 matrix that shows the test marks of students in a class, where the maximum mark is…

Q: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

Q: Let B=[0000]. Find a non-zero 2×2 matrix A such that A^2=B. A= ? Hint: Let �=[��] and then set…

A: The given matrix is; B=[0 0 0 0 ]A2=BFind the matrix A.

Q: years of school. Years of schooling is widely believed to be a major determinant of income. The…

A: Correlation is defined as the linear relationship between the two variables. Causation is defined as…

Q: (a) Show that the jth column of the matrix product AB is equal to the matrix product Ab;, where b;…

Q: Let A, B be two matrices with linearly independent columns. If Col(A) = Col(B) then A(AT A)-1 AT =…

Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

Q: Let B = {-3,2), (4, -2)} and B' = {(-1,2), (2,-2)} a. Find the transition matrix from B to B'. b.…

Q: Can you show that Q is an intensity matrix?

A: Negative or non zero elements ,row sums adding upto zero and non negative off - diagonals elements.

Q: Take the system æ' = 10x? + 10y2 + 9xy, y' = e10x + 10y?. The Jacobian matrix is help (formulas)…

Q: b) A civil engineering firm plans to sign a contract with a customer. The contract calls for the…

A: Let the cost of building X is x the cost of building Y is y. then as per given information the…

Question

4. Matrix models can be used to describe the flow of certain toxins , like lead, between
compartments of a biological system. For example, lead enters the human body by inhaling or
ingesting lead particles. These particles are diffused into the tissue such as kidney and liver and
into the bloodstream.
Let Xn represent the amount of lead in the blood ( in micrograms ) and let Yn represent the
amount in the tissue at the start of a certain month.
A model for calculating the levels a month later is given by (*1) = ( 02) )
(Xn+1
Yn+1.
Answer these questions , use the next blank page for your work. Only write the answers here.
a. Find the fraction of lead in the system that will be in the blood and in the tissues in the long run .
b. Find a formula that gives the amount Xn and Yn for any month. Since you do not have an initial
condition, you will find equations that measure the amounts for any starting value.
Xn =
Yn =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Complexity$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Could you also break down the (I-A)^-1 part more I am having trouble understanding that?
The matrix that projects onto the line y = -x is X 0.6 0.8 0.8 -0.6
a. Is the matrix 1 0 0 B = 1 -2 0 0 1 an elementary matrix? Justify your answer. b. Calculate B13 Explain your work. c. Calculate B¯'Explain your work.
2. Solve for X in the given matrix equation (A – X) =B where A = 3 and B = 2 MINN
5. Determine the matrix of the transformation that first reflects points through the horizontal x-axis and then reflects points through the line y = x.
Give an example of a nonsingular matrix whose Gershgorin domain contains zero.
Find the rank and the nullity of the matrix rank (A) = nullity (A) = = rank(A) + nullity (A) = choose > A = -1 -2 -1 -2 -1 3 0 -1 -2 -1 2-5 TT 3 -8
If A is 3 x 3 matrix with det (A) = 3, find det (3(4*)").
2