Homework Answers
solve them by clear hand write , thankyou 3. a) (7 pnts) Find all eigenvalues of...
solve them by clear hand write , thankyou
3. a) (7 pnts) Find all eigenvalues of the matrix A = 3 -5 3 16 -6 4 11 -3 3 b) (7 pnts) Find all eigenvectors of the matrix A = 13 -5 3 16 -6 4 -E c) (6 pnts) What can you say about the solution of the following system of differential equations in relation to the matrix A? Please explain briefly. X1 - 3x2 + 3x3 3x1 -...
Please solve them in clear hand write . Thankyyyoouu 2. a) (7 pnts) Solve the second...
Please
solve them in clear hand write . Thankyyyoouu
2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above differential equation so that the general solution to the homogeneous equation will become G cos x + cz sinx. c) (7 pnts) Solve the second order linear differential equation y" - y = 3e2x by using Variation of Parameters. 3. a)...
Please solve them clear . 1. Consider the matrix A = [ 24 31. a) (7...
Please solve them clear .
1. Consider the matrix A = [ 24 31. a) (7 pnts) Find the characteristic polynomial of A. b) (7 pnts) Compute the matrix B = A- 2A +812. c) (6 pnts) Can you describe how to find the inverse of A using characteristic equation? 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above...
10. Solve the system of differential equations by using eigenvalues and eigenvectors. x1 = 3x, +...
10. Solve the system of differential equations by using eigenvalues and eigenvectors. x1 = 3x, + 2x2 + 2xz x2 = x + 4x2 + x3 X;' =-2x, - 4x2 – x3
(1 point) a. Find the eigenvalues and eigenvectors of the matrix of the matrik (_&_7] 1...
(1 point) a. Find the eigenvalues and eigenvectors of the matrix of the matrik (_&_7] 1 2 1-6 3 -7] 11 = -4 ,u = , and 12 = -1 , 02 = → b. Solve the system of differential equations x X1(0) = [ 2 | -6 31+ -7 the initial conditions | x2(0) xi(t) = x2(t) =
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7 0 3 -2 0 -1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (91, 12, 13) = 1, 2, 4 the corresponding eigenvectors X1 = x X2 = X3 =
.3 Suppose the eigenvalues of a 3x3 matrix A are A, 4, , and A 6'...
.3 Suppose the eigenvalues of a 3x3 matrix A are A, 4, , and A 6' %3D with corresponding eigenvectors v,= V2= and v Let -2 -5 6. 11 Find the solution of the equation x Ax, for the specified x, and describe what happens ask-o. 13 Find the solution of the equation X1AX Choose the correct answer below. 4. 1. O A. X=2.(4)* +3. -4 1. 6. -5 -2 -3 O B. X=2.(4)* 0 +3. 1. -5 6. 11...
6.-6 7 7.1.025 Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix....
6.-6 7 7.1.025 Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 4 4-14 OO4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) a1, A2, A)- the corresponding eigenvectors X1 x3- to a Tutor Need Help? T Show My Work (Required) What steps or reasoning did you use? Your work counts towards your score. Uploaded File (10 file maximum) No Files to Display Upload Eile Show My Work has not...
Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal. -1...
Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal. -1 0 -1 0-1 0 - 1 0 5 Find the characteristic polynomial of A. - A - Find the eigenvalues of A. (Enter your answers from smallest to largest.) (1, 12, 13) = ]) Find the general form for every eigenvector corresponding to N. (Uses as your parameter.) X1 = Find the general form for every eigenvector corresponding to 12. (Use t as your...
Chapter 7, Section 7.3, Question 16 Find all eigenvalues and eigenvectors of the given matrix. 2....
Chapter 7, Section 7.3, Question 16 Find all eigenvalues and eigenvectors of the given matrix. 2. -1 -4 -1 À, = 3, A2= 2, x(1) X(2) xx2) - (9) Az = -2, 42 = 3, **) - (1). «?- (4) 12 = -2, 12 = 0, ${") = (6) (4). x2)-() 12 = -2, 12 = 3, x1) = (). x2) 11 = -2, 12 = 3, x(1) = i
solve them by clear hand write , thankyou
3. a) (7 pnts) Find all eigenvalues of the matrix A = 3 -5 3 16 -6 4 11 -3 3 b) (7 pnts) Find all eigenvectors of the matrix A = 13 -5 3 16 -6 4 -E c) (6 pnts) What can you say about the solution of the following system of differential equations in relation to the matrix A? Please explain briefly. X1 - 3x2 + 3x3 3x1 -...
Please
solve them in clear hand write . Thankyyyoouu
2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above differential equation so that the general solution to the homogeneous equation will become G cos x + cz sinx. c) (7 pnts) Solve the second order linear differential equation y" - y = 3e2x by using Variation of Parameters. 3. a)...
Please solve them clear .
1. Consider the matrix A = [ 24 31. a) (7 pnts) Find the characteristic polynomial of A. b) (7 pnts) Compute the matrix B = A- 2A +812. c) (6 pnts) Can you describe how to find the inverse of A using characteristic equation? 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above...
10. Solve the system of differential equations by using eigenvalues and eigenvectors. x1 = 3x, + 2x2 + 2xz x2 = x + 4x2 + x3 X;' =-2x, - 4x2 – x3
(1 point) a. Find the eigenvalues and eigenvectors of the matrix of the matrik (_&_7] 1 2 1-6 3 -7] 11 = -4 ,u = , and 12 = -1 , 02 = → b. Solve the system of differential equations x X1(0) = [ 2 | -6 31+ -7 the initial conditions | x2(0) xi(t) = x2(t) =
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7 0 3 -2 0 -1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (91, 12, 13) = 1, 2, 4 the corresponding eigenvectors X1 = x X2 = X3 =
.3 Suppose the eigenvalues of a 3x3 matrix A are A, 4, , and A 6' %3D with corresponding eigenvectors v,= V2= and v Let -2 -5 6. 11 Find the solution of the equation x Ax, for the specified x, and describe what happens ask-o. 13 Find the solution of the equation X1AX Choose the correct answer below. 4. 1. O A. X=2.(4)* +3. -4 1. 6. -5 -2 -3 O B. X=2.(4)* 0 +3. 1. -5 6. 11...
6.-6 7 7.1.025 Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 4 4-14 OO4 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) a1, A2, A)- the corresponding eigenvectors X1 x3- to a Tutor Need Help? T Show My Work (Required) What steps or reasoning did you use? Your work counts towards your score. Uploaded File (10 file maximum) No Files to Display Upload Eile Show My Work has not...
Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal. -1 0 -1 0-1 0 - 1 0 5 Find the characteristic polynomial of A. - A - Find the eigenvalues of A. (Enter your answers from smallest to largest.) (1, 12, 13) = ]) Find the general form for every eigenvector corresponding to N. (Uses as your parameter.) X1 = Find the general form for every eigenvector corresponding to 12. (Use t as your...
Chapter 7, Section 7.3, Question 16 Find all eigenvalues and eigenvectors of the given matrix. 2. -1 -4 -1 À, = 3, A2= 2, x(1) X(2) xx2) - (9) Az = -2, 42 = 3, **) - (1). «?- (4) 12 = -2, 12 = 0, ${") = (6) (4). x2)-() 12 = -2, 12 = 3, x1) = (). x2) 11 = -2, 12 = 3, x(1) = i
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