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1. Consider the matrix A = [ 24 31. a) (7...
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)...
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 it clear . In clear hand write . Thankyoooou 1. Consider the matrix A...
Please solve it clear . In clear hand write . Thankyoooou
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...
solve them by step , thank yooooooou 1. Consider the matrix A = [ 24 31....
solve them by step , thank yooooooou
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...
2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y =...
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 c cos x + C sinx. c) (7 pnts) Solve the second order linear differential equation y" - y = 3e2x by using Variation of Parameters. 5. a) (7 pnts) Determine the general solution to the system...
3. a) (7 pnts) Find all eigenvalues of the matrix A = 10 LO -3 6...
3. a) (7 pnts) Find all eigenvalues of the matrix A = 10 LO -3 6 6 3 -2 -1 11-3 b) (7 pnts) Find all eigenvectors of the matrix A = 10 lo 6 - 1 3 -2 6 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 = x1 - 3x2 + 3x3 X2 6x2 - 2xz X3 6X2 -...
2. Solve the following linear systems of equations by writing the system as a matrix equation...
2. Solve the following linear systems of equations by writing the system as a matrix equation Ax = b and using the inverse of the matrix A. (You may use a calculator or computer software to find A-1. Or you can find A-1 by row-reduction.) 3x1 – 2x2 + 4x3 = 1 x1 + x2 – 2x3 = 3 2x1 + x2 + x3 = 8 321 – 2x2 + 4x3 = 10 X1 + x2 – 2x3 = 30...
Q1. Solve the complex equation: sinz 3i Q2. Study the analyticity of the complex function fusing...
Q1. Solve the complex equation: sinz 3i Q2. Study the analyticity of the complex function fusing Cauchy-Riemann equations: Izl Q3. Evaluate, by using Cauchy's integral formula, the path integral cosh2 z dz (z-1-i(z-4) where C consists of Iz 3 (counterclockwise) Q4. Using the Residue theorem, integrate counterclockwise around the circle C defined by zl 1.5, the following tan z dz Q5. Find, by using parti ial fraction, the Laurent series of the function with center zo 0 for 1< z<3...
solve it clear please ????? 6 0 0 1 Q2. Consider the matrix A = 2...
solve it clear please ?????
6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos...
1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos - *cos(a). (a) Suppose that we know the characteristic polynomial of its corresponding homogeneous differential equation is P(x) = x²(12 - 3)(1? + 4) (1 - 1). Find the general solution yn of its corresponding homogeneous differential equation. (b) Give the form (don't solve it) of p, the particular solution of the nonhomogeneous differential equation 2. Find the general solution of the equation. (a)...
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)...
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 it clear . In clear hand write . Thankyoooou
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...
solve them by step , thank yooooooou
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...
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 c cos x + C sinx. c) (7 pnts) Solve the second order linear differential equation y" - y = 3e2x by using Variation of Parameters. 5. a) (7 pnts) Determine the general solution to the system...
3. a) (7 pnts) Find all eigenvalues of the matrix A = 10 LO -3 6 6 3 -2 -1 11-3 b) (7 pnts) Find all eigenvectors of the matrix A = 10 lo 6 - 1 3 -2 6 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 = x1 - 3x2 + 3x3 X2 6x2 - 2xz X3 6X2 -...
2. Solve the following linear systems of equations by writing the system as a matrix equation Ax = b and using the inverse of the matrix A. (You may use a calculator or computer software to find A-1. Or you can find A-1 by row-reduction.) 3x1 – 2x2 + 4x3 = 1 x1 + x2 – 2x3 = 3 2x1 + x2 + x3 = 8 321 – 2x2 + 4x3 = 10 X1 + x2 – 2x3 = 30...
Q1. Solve the complex equation: sinz 3i Q2. Study the analyticity of the complex function fusing Cauchy-Riemann equations: Izl Q3. Evaluate, by using Cauchy's integral formula, the path integral cosh2 z dz (z-1-i(z-4) where C consists of Iz 3 (counterclockwise) Q4. Using the Residue theorem, integrate counterclockwise around the circle C defined by zl 1.5, the following tan z dz Q5. Find, by using parti ial fraction, the Laurent series of the function with center zo 0 for 1< z<3...
solve it clear please ?????
6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos - *cos(a). (a) Suppose that we know the characteristic polynomial of its corresponding homogeneous differential equation is P(x) = x²(12 - 3)(1? + 4) (1 - 1). Find the general solution yn of its corresponding homogeneous differential equation. (b) Give the form (don't solve it) of p, the particular solution of the nonhomogeneous differential equation 2. Find the general solution of the equation. (a)...
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