![[2 1 0] A= 1 31. 2 1 1 Find the characteristic polynomial for A. It should have the form f(x)=\+aX+X+C. Calculate B=(A? +A+b](http://img.homeworklib.com/questions/85294cf0-b4e9-11eb-8f16-a91a3a9a81f4.png?x-oss-process=image/resize,w_560)
Homework Answers
![A = [2 107 12 il det (A-AI ) = characteristic polynomial = 12-N 10 II 3-1 Le lindi = (2-1) [3-7)(1-1) - 1] -1 [11-2] to = -29](http://img.homeworklib.com/questions/98a1b190-b560-11eb-9693-953bed63c602.png?x-oss-process=image/resize,w_560)
linear algebra 1 1 2. Let A= 1 -1 2 0 -1 1 (a) Find the...
linear algebra
1 1 2. Let A= 1 -1 2 0 -1 1 (a) Find the characteristic polynomial of A. You do not need to factor. (b) Verify that 71 0 4 is an eigenvector of A and identify the associated eigenvalue 11. 2 (C) Given that 12 = 2 is an eigenvalue of A, find a basis for its corresponding eigenbasis.
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of A is X(A - 3)2. (a) Find the eigenspaces of A and...
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of A is X(A - 3)2. (a) Find the eigenspaces of A and verify that the dimension of each eigenspace is equal to the multiplicity of the corresponding eigen value (b) Write down a matrix P that orthogonally diagonalises A You must show all your working
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of A is X(A...
LINEAR ALGEBRA What are the eigenvalues of the matrix 2-31 1 -2 1 What is the...
LINEAR ALGEBRA
What are the eigenvalues of the matrix 2-31 1 -2 1 What is the characteristic polynomial of this matrix? (That is, the polynomial you use to find the eigenvalues). 1-32 p() = -13 +212 -1. op() = X(4-1)(-2) op() = 12 + 1 OPW) = 12 -2X + 1. Let M = 2-31 1 -2 1 1-32 (this is the same as the previous problem). Find the eigenvalues of M (they are not listed according to multiplicity). Let...
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of...
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of A is X(A - 3)2. (a) Find the eigenspaces of A and verify that the dimension of each eigenspace is equal to the multiplicity of the corresponding eigen value (b) Write down a matrix P that orthogonally diagonalises A You must show all your working
linear algebra: show all work please ned by Xi = I Find a basis 4. Let...
linear algebra: show all work please
ned by Xi = I Find a basis 4. Let S be the subspace of R4 spanned b (1,0, 2, 1)? and x2 = (0, 1, 3, -2)7. Find for St.
linear algebra Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are...
linear algebra
Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal -1 0-1 0-1 0 - 1 0 9 1 Find the characteristic polynomial of A. |x - Al- Find the eigenvalues of A. (Enter your answers from smallest to largest.) (21, 22, 23) Find the general form for every eigenvector corresponding to 21. (Uses as your parameter.) X1 - Find the general form for every elge vector corresponding to Az. (Uset as your...
Matrix Methods/Linear Algebra: Please show all work and justify the answer! 8. Find the eigenvalues of...
Matrix Methods/Linear Algebra: Please show all work and justify
the answer!
8. Find the eigenvalues of each matrix. -4 2 (a) (8 points) A= 6 7 [ 1 (b) (4 points) A = 3 0 0 1 -2 0 2 3 4
Matrix Methods/Linear Algebra: Please show all work and justify the answer! 3 -6 9 0 1...
Matrix Methods/Linear Algebra: Please show all work and justify
the answer!
3 -6 9 0 1 -2 0 -6 3. Let A= 2 -4 7 2 The RREF of Aiso 0 1 2 3 -6 6 -6 0 0 0 (a) (6 points) Find a basis for Col A, the column space of A. 0 (b) (2 points) What is rank A? (c) (6 points) Find a basis for Null A, the null space of A.
linear algebra// only the top question 1. Find the Fourier series of f(x) = x +...
linear algebra// only the top question
1. Find the Fourier series of f(x) = x + 2 over the interval (0,25). To receive full credit, you must show all work when integrating. 3. (12 points) Prove each of the following parts. a) Prove that the characteristic equation of a 2 x 2 matrix A can be expressed as
Linear Algebra Help [1 1 -2 37 1-1 Let A= 0 1 1 1 Lo 0...
Linear Algebra
Help
[1 1 -2 37 1-1 Let A= 0 1 1 1 Lo 0 0 1] [2 a. Is A in row-echelon form, reduced row-echelon form, neither or both? Explain your response in a full sentence. (3 pts) b. Give the solution to the system Ax = b. Format counts. (5 pts) C. What is the dimension of the solution space? Why? (3 pts) d. Is the system consistent for all 3 x 1 matrices b? Why or...
linear algebra
1 1 2. Let A= 1 -1 2 0 -1 1 (a) Find the characteristic polynomial of A. You do not need to factor. (b) Verify that 71 0 4 is an eigenvector of A and identify the associated eigenvalue 11. 2 (C) Given that 12 = 2 is an eigenvalue of A, find a basis for its corresponding eigenbasis.
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of A is X(A - 3)2. (a) Find the eigenspaces of A and verify that the dimension of each eigenspace is equal to the multiplicity of the corresponding eigen value (b) Write down a matrix P that orthogonally diagonalises A You must show all your working
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of A is X(A...
LINEAR ALGEBRA
What are the eigenvalues of the matrix 2-31 1 -2 1 What is the characteristic polynomial of this matrix? (That is, the polynomial you use to find the eigenvalues). 1-32 p() = -13 +212 -1. op() = X(4-1)(-2) op() = 12 + 1 OPW) = 12 -2X + 1. Let M = 2-31 1 -2 1 1-32 (this is the same as the previous problem). Find the eigenvalues of M (they are not listed according to multiplicity). Let...
Algebra 2 -1 - Let A 1 2 -1 -1 -1 2 The characteristic polynomial of A is X(A - 3)2. (a) Find the eigenspaces of A and verify that the dimension of each eigenspace is equal to the multiplicity of the corresponding eigen value (b) Write down a matrix P that orthogonally diagonalises A You must show all your working
linear algebra: show all work please
ned by Xi = I Find a basis 4. Let S be the subspace of R4 spanned b (1,0, 2, 1)? and x2 = (0, 1, 3, -2)7. Find for St.
linear algebra
Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal -1 0-1 0-1 0 - 1 0 9 1 Find the characteristic polynomial of A. |x - Al- Find the eigenvalues of A. (Enter your answers from smallest to largest.) (21, 22, 23) Find the general form for every eigenvector corresponding to 21. (Uses as your parameter.) X1 - Find the general form for every elge vector corresponding to Az. (Uset as your...
Matrix Methods/Linear Algebra: Please show all work and justify
the answer!
8. Find the eigenvalues of each matrix. -4 2 (a) (8 points) A= 6 7 [ 1 (b) (4 points) A = 3 0 0 1 -2 0 2 3 4
Matrix Methods/Linear Algebra: Please show all work and justify
the answer!
3 -6 9 0 1 -2 0 -6 3. Let A= 2 -4 7 2 The RREF of Aiso 0 1 2 3 -6 6 -6 0 0 0 (a) (6 points) Find a basis for Col A, the column space of A. 0 (b) (2 points) What is rank A? (c) (6 points) Find a basis for Null A, the null space of A.
linear algebra// only the top question
1. Find the Fourier series of f(x) = x + 2 over the interval (0,25). To receive full credit, you must show all work when integrating. 3. (12 points) Prove each of the following parts. a) Prove that the characteristic equation of a 2 x 2 matrix A can be expressed as
Linear Algebra
Help
[1 1 -2 37 1-1 Let A= 0 1 1 1 Lo 0 0 1] [2 a. Is A in row-echelon form, reduced row-echelon form, neither or both? Explain your response in a full sentence. (3 pts) b. Give the solution to the system Ax = b. Format counts. (5 pts) C. What is the dimension of the solution space? Why? (3 pts) d. Is the system consistent for all 3 x 1 matrices b? Why or...
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