Homework Answers
Add Answer to:
For each of the following matrices, determine if A is diagonalizable. If it is, find a matrix S and a matrix B such that A = SBS-1. You do not need to compute S1. Then find a matrix similar to A3000...
We say that A and B are similar matrices if A = SBS-1 for some invertible...
We say that A and B are similar matrices if A = SBS-1 for some invertible matrix S. Are the following true or false. Given a mathematical reason (proof). (a) If A and B are similar, then A and B have the same eigenvalues. Answer: (b) If A and B are similar, then A and B have the same eigenvectors. Answer: c) If A and B are similar, then A - 51 and B – 51 are similar. Answer: (d)...
Determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing...
Determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix P and diagonal matrix D such that P-TAP =D 300 030 0 3 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 2 0 0 0 3 0 O A 0 1 0 The matrix is diagonalizable, (PD) = 0 0 1 1 0 3 (Use a comma to separate matrices as needed.) O...
6. For each of the following matrices A solve the eigenvalue problem. If A is diagonalizable,...
6. For each of the following matrices A solve the eigenvalue problem. If A is diagonalizable, find a matrix P that diagonalizes A by a similarity transformation D-PlAP and the respective diagonal matrix D. If A is not diagonalizable, briefly explain why -1 4 2 (d) A-|-| 3 1 -1 2 2 -1 0 1 6 3 (a) A- (b)As|0 1 0| (c) A-1-3 0 11 -4 0 3
2. For the following matrices, find a matrix Pthat diagonalizes A and compute p-'AP. If the...
2. For the following matrices, find a matrix Pthat diagonalizes A and compute p-'AP. If the matrix is not diagonalizable, say so and give a reason why. -14 12 (a) A= -2017 100 (b) A011 011
Are the two matrices similar? If so, find a matrix P such that B = p-1AP....
Are the two matrices similar? If so, find a matrix P such that B = p-1AP. (If not possible, enter IMPOSSIBLE.) 200 100 B = A= 0 3 0 03 0 0 0 1 0 0 2 0 0 ра 0 11 X
(60) Determine if (1 - ) is diagonalizable. You do not need to compuſes and D....
(60) Determine if (1 - ) is diagonalizable. You do not need to compuſes and D. You just need to determine if it is diagonalizable or not (and give a clear argument as to why“). (62) Compute all the values for a and b for which (a ] is nondefective (7a) Compute the Wronskian of the functions y; = 1, y = x, y3 = x?
15. Use the characteristic equation to find the real eigenvalues of the following matrices. (a) [...
15. Use the characteristic equation to find the real eigenvalues of the following matrices. (a) [ ] 6 (b) | 9 -9 -6 -9 6 -6 3 1 16. Diagonalize the following matrices if possible. (If not possible explain why not)Then compute A2. (Use the diagonal matrix to do the computation if A was diagonalizable) One of the Eigen-values is provided to get you started. A= 10 -1 15 3 -9 2=4 -2 10)
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues...
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and geometric multiplicities of the eigenvalues (v) Determine if the matrix is diagonalizable, and if it is, diagonalize it. -2 3 (a) A -3 2
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and...
1 Compute and completely factor the characteristic polynomial of the following matrix: 0 A= -4 5...
1 Compute and completely factor the characteristic polynomial of the following matrix: 0 A= -4 5 0 1 1 For credit, you have to factor the polynomial and show work for each step. B In the following, use complex numbers if necessary. For each of the following matrices: • compute the characteristic polynomial; • list all the eigenvalues (possibly complex) with their algebraic multiplicity; • for each eigenvalue, find a basis (possibly complex) of the corresponding eigenspace, and write the...
Bycalculatingthecharacteristicpolynomial,eigenvaluesanddimensionsoftheeigenspaces of each map or matrix below, determine if the given map or matrix is diagonalizable....
Bycalculatingthecharacteristicpolynomial,eigenvaluesanddimensionsoftheeigenspaces
of each map or matrix below, determine if the given map or matrix
is diagonalizable. If a map or matrix is diagonalizable,
diagonalize it （linear algebra)
1. By calculating the characteristic polynomial, eigenvalues and dimensions of the eigenspaces of each map or matrix below, determine if the given map or matrix is diagonalizable. If a map or matrix is diagonalizable, diagonalize it (that is, give a basis consisting of its eigenvectors) The field F over which you consider the...
We say that A and B are similar matrices if A = SBS-1 for some invertible matrix S. Are the following true or false. Given a mathematical reason (proof). (a) If A and B are similar, then A and B have the same eigenvalues. Answer: (b) If A and B are similar, then A and B have the same eigenvectors. Answer: c) If A and B are similar, then A - 51 and B – 51 are similar. Answer: (d)...
Determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix P and diagonal matrix D such that P-TAP =D 300 030 0 3 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 2 0 0 0 3 0 O A 0 1 0 The matrix is diagonalizable, (PD) = 0 0 1 1 0 3 (Use a comma to separate matrices as needed.) O...
6. For each of the following matrices A solve the eigenvalue problem. If A is diagonalizable, find a matrix P that diagonalizes A by a similarity transformation D-PlAP and the respective diagonal matrix D. If A is not diagonalizable, briefly explain why -1 4 2 (d) A-|-| 3 1 -1 2 2 -1 0 1 6 3 (a) A- (b)As|0 1 0| (c) A-1-3 0 11 -4 0 3
2. For the following matrices, find a matrix Pthat diagonalizes A and compute p-'AP. If the matrix is not diagonalizable, say so and give a reason why. -14 12 (a) A= -2017 100 (b) A011 011
Are the two matrices similar? If so, find a matrix P such that B = p-1AP. (If not possible, enter IMPOSSIBLE.) 200 100 B = A= 0 3 0 03 0 0 0 1 0 0 2 0 0 ра 0 11 X
(60) Determine if (1 - ) is diagonalizable. You do not need to compuſes and D. You just need to determine if it is diagonalizable or not (and give a clear argument as to why“). (62) Compute all the values for a and b for which (a ] is nondefective (7a) Compute the Wronskian of the functions y; = 1, y = x, y3 = x?
15. Use the characteristic equation to find the real eigenvalues of the following matrices. (a) [ ] 6 (b) | 9 -9 -6 -9 6 -6 3 1 16. Diagonalize the following matrices if possible. (If not possible explain why not)Then compute A2. (Use the diagonal matrix to do the computation if A was diagonalizable) One of the Eigen-values is provided to get you started. A= 10 -1 15 3 -9 2=4 -2 10)
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and geometric multiplicities of the eigenvalues (v) Determine if the matrix is diagonalizable, and if it is, diagonalize it. -2 3 (a) A -3 2
3 For each of the matrices below: (i) Find the characteristic polynomial (ii) Determine the eigenvalues (ii Find a basis for each eigenspace (iv) Find the algebraic and...
1 Compute and completely factor the characteristic polynomial of the following matrix: 0 A= -4 5 0 1 1 For credit, you have to factor the polynomial and show work for each step. B In the following, use complex numbers if necessary. For each of the following matrices: • compute the characteristic polynomial; • list all the eigenvalues (possibly complex) with their algebraic multiplicity; • for each eigenvalue, find a basis (possibly complex) of the corresponding eigenspace, and write the...
Bycalculatingthecharacteristicpolynomial,eigenvaluesanddimensionsoftheeigenspaces
of each map or matrix below, determine if the given map or matrix
is diagonalizable. If a map or matrix is diagonalizable,
diagonalize it （linear algebra)
1. By calculating the characteristic polynomial, eigenvalues and dimensions of the eigenspaces of each map or matrix below, determine if the given map or matrix is diagonalizable. If a map or matrix is diagonalizable, diagonalize it (that is, give a basis consisting of its eigenvectors) The field F over which you consider the...
Most questions answered within 3 hours.
-
Mr. and Mrs. Brown report taxable income of $130,000 in 2018. In
addition, they report the...
asked 12 minutes ago -
You capture data by having 8 people fill in 30 small dots on a
piece of...
asked 3 hours ago -
What are the z-values such that 70% of the area lies in the
middle of the...
asked 5 hours ago -
You borrow $29,500 to purchase a brand new car. The interest
rate is 6%, and the...
asked 5 hours ago -
The amount of time it takes an asteroid, whose average distance
from the Sun is 4.70...
asked 5 hours ago -
A 0.289 kg mass slides on a frictionless floor with a speed of
1.34 m/s. The...
asked 5 hours ago -
15.A box contains five red balls, three green balls, and two
yellow balls. Suppose you select...
asked 8 hours ago -
Assume you are given the following for Stackelberg industries:
Return on Assets (ROA) = 8%
Debt...
asked 7 hours ago -
an engineer proposes to use mmWave in 5G network to
increase data rate.
What are the...
asked 7 hours ago -
Explain the idea behind using SEMIJOIN in distributed
query processing.
asked 7 hours ago -
why
is context important in selecting and applying guidelines and
principles for interface design?
illustrate your...
asked 7 hours ago -
In a certain board game, a player rolls two fair six-sided dice
until the player rolls...
asked 8 hours ago