Homework Answers
1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0...
1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0 0 0 3 0 0 -1 0 5 4 2-3 E = 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that B = PDP- 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-!. If...
Answer 7,8,9 1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6....
Answer 7,8,9
1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that BPDP-1 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-1. If this is not possible, thus the matrix is not diagonalizable, explain why. 9. Consider the...
# 2 and # 3 2 -6 4 -4 0 -4 6 1. Define A =...
# 2 and # 3
2 -6 4 -4 0 -4 6 1. Define A = 8 01 . Determine, by hand, the LU factorization, of A. You may of course check your answer using appropriate technology tools. Then use your result to solve the system of equations Ax b, where b--4 2 0 5 2 2. Suppose A-6 -3 133Even though A is not square, it has an LU factorization A LU, 4 9 16 17 where L and...
Problem 4. Let B = {V1, 02, 03} CR, where [3] [1] 01 = 12, 02...
Problem 4. Let B = {V1, 02, 03} CR, where [3] [1] 01 = 12, 02 = 12103 = 1 [1] [2] 4.1. Show that the matrix A = (v1 V2 V3) E M3(R) is invertible by finding its inverse. Conclude that B is a basis for R3. 4.2. Find the matrices associated to the coordinate linear transformation T:R3 R3, T(x) = (2]B- and its inverse T-1: R3 R3. Use your answers to find formulas for the vectors 211 for...
Help with the following Linear Algebra questions as many as possible: Name There are 10 questions...
Help with the following Linear Algebra
questions as many as possible:
Name There are 10 questions worth 10 points each. Feel free to discuss these exercises with your classmates but please write each solution in your own words. Please include all the details necessary to explain your work to someone who is not necessarily enrolled in the course. 1) Show that there is no matrix with real entries A, such that APEX 11 a 001 2) Find the inverse of...
Differention Equations - Can someone answer the checked numbers please? Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve fo...
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
Question 5 Suppose that A is the matrix (51 -1 A= 0 4 0 1 1...
Question 5 Suppose that A is the matrix (51 -1 A= 0 4 0 1 1 3 (a) Find an invertible matrix P such that P-1AP = J where J is a Jordan normal form. Now consider the system of differential equations f'(t) = 5f(t) +g(t) - h(t), 9'(t) = 49(t) and h'(t) = f(t)+g(t) + 3h(t). (b) Find the general solution to this system of differential equations. (c) What is the dominant long-term behaviour of this system? For what...
0 1 0 01 1-16 0 0 0 #7 (15 points) The canonical form of a...
0 1 0 01 1-16 0 0 0 #7 (15 points) The canonical form of a matrix is 1000 21: 9. Write its eigenvalues below: LO 0 -2 01 Suppose only two eigenvectors are known, Vi= Suppose only two oiewentos ne koum, Vi-| .md v=. How will you find the othe 0. How will you find the other eigenvectors? Show the main steps and write the form of the solution, X=
The area of the parallelogram formed by vectors a=(−1,3,1) and b=(1,2,0), rounded to one decimal, is:...
The area of the parallelogram formed by vectors a=(−1,3,1) and b=(1,2,0), rounded to one decimal, is: Select one: a. 5.4 b. 5.5 c. -6.0 d. none of above Find the component of the vector with initial point (2,−1,1) and terminal point (4,3,−6): Select one: a. (2,4,−7) b. (6,3,−5) c. (8,−3,−6) d. (−2,−4,7) Determine whether the statement is True or False: The sum of two invertible matrices of the same size must be invertible. Select one: a. True b. False Determine...
Solve True or False and try bonus. Highlight (use this or similar color) whether the statement...
Solve True or False and try bonus.
Highlight (use this or similar color) whether the statement is true or false; 1 pt each. 1. True/False: Given matrix (A), I [A] represents the absolute value of [A]. 2. True/False: While absolute value represents a strictly magnitude value, determinants represent more of a vector quantity. 3. True/False: While absolute value can be fractional, determinants are always an integer. 4. True/False: One application of determinants is to find the volume of a parallelepiped....
1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0 0 0 3 0 0 -1 0 5 4 2-3 E = 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that B = PDP- 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-!. If...
Answer 7,8,9
1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that BPDP-1 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-1. If this is not possible, thus the matrix is not diagonalizable, explain why. 9. Consider the...
# 2 and # 3
2 -6 4 -4 0 -4 6 1. Define A = 8 01 . Determine, by hand, the LU factorization, of A. You may of course check your answer using appropriate technology tools. Then use your result to solve the system of equations Ax b, where b--4 2 0 5 2 2. Suppose A-6 -3 133Even though A is not square, it has an LU factorization A LU, 4 9 16 17 where L and...
Problem 4. Let B = {V1, 02, 03} CR, where [3] [1] 01 = 12, 02 = 12103 = 1 [1] [2] 4.1. Show that the matrix A = (v1 V2 V3) E M3(R) is invertible by finding its inverse. Conclude that B is a basis for R3. 4.2. Find the matrices associated to the coordinate linear transformation T:R3 R3, T(x) = (2]B- and its inverse T-1: R3 R3. Use your answers to find formulas for the vectors 211 for...
Help with the following Linear Algebra
questions as many as possible:
Name There are 10 questions worth 10 points each. Feel free to discuss these exercises with your classmates but please write each solution in your own words. Please include all the details necessary to explain your work to someone who is not necessarily enrolled in the course. 1) Show that there is no matrix with real entries A, such that APEX 11 a 001 2) Find the inverse of...
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
Question 5 Suppose that A is the matrix (51 -1 A= 0 4 0 1 1 3 (a) Find an invertible matrix P such that P-1AP = J where J is a Jordan normal form. Now consider the system of differential equations f'(t) = 5f(t) +g(t) - h(t), 9'(t) = 49(t) and h'(t) = f(t)+g(t) + 3h(t). (b) Find the general solution to this system of differential equations. (c) What is the dominant long-term behaviour of this system? For what...
0 1 0 01 1-16 0 0 0 #7 (15 points) The canonical form of a matrix is 1000 21: 9. Write its eigenvalues below: LO 0 -2 01 Suppose only two eigenvectors are known, Vi= Suppose only two oiewentos ne koum, Vi-| .md v=. How will you find the othe 0. How will you find the other eigenvectors? Show the main steps and write the form of the solution, X=
Solve True or False and try bonus.
Highlight (use this or similar color) whether the statement is true or false; 1 pt each. 1. True/False: Given matrix (A), I [A] represents the absolute value of [A]. 2. True/False: While absolute value represents a strictly magnitude value, determinants represent more of a vector quantity. 3. True/False: While absolute value can be fractional, determinants are always an integer. 4. True/False: One application of determinants is to find the volume of a parallelepiped....
Most questions answered within 3 hours.
-
A student remembered that the side toward the window in the
classroom was the debit side...
asked 48 seconds ago -
(A) For the following reaction, 0.447 moles of
sulfur dioxide are mixed with
0.403 moles of...
asked 8 minutes ago -
When a hacker causes problems, potentially even harming people,
obviously the hacker is legally responsible. But...
asked 11 minutes ago -
Suppose that y1,...,yn|β are iid Exponential with mean 1/β and
that β is marginally Exponential with...
asked 26 minutes ago -
In the figure below, a block of mass m=5 kg is pulled along a
horizontal frictionless...
asked 26 minutes ago -
The power of a statistical test is defined as the probability
of:
A. retaining a true...
asked 50 minutes ago -
QUESTIONS:
Is the mechanical energy remaining the same
(conserved) with time?
Is the decrease in the...
asked 37 minutes ago -
ABC Co. is financed 100% by common stock and has outstanding 20
million shares with a...
asked 48 minutes ago -
Please show work
Phosgene (COCl2) is a toxic substance that forms readily from
carbon monoxide and...
asked 40 minutes ago -
_____________are processes that run software for network clients
and thus enable clients to share processing power...
asked 41 minutes ago -
Which type of secondary structure would the polypeptide sequence
below most likely form? VCITWHFRAQGTFELSVE
please explain
asked 56 minutes ago -
How does the body efficiently utilize coenzymes and what
water-soluble vitamin is a precursor of PLP?...
asked 1 hour ago