2 Factor the following using the decomposition method: (6 marks) a z? - 3. - 70...
Solve 4x^3-28x^2+55x-21=0 using the decomposition method. Decomposition method: (do not just factor) Substitute x=a/3 to get in the form of y^3+py+q=0. Then find the discriminant value, etc...
(b) (6 marks) Find a decomposition of the module Z/10Z over the ring Z into a direct sum of indecomposable modules. (b) (6 marks) Find a decomposition of the module Z/10Z over the ring Z into a direct sum of indecomposable modules.
Need help with part B! Exercise 3.9.4. Find a particular solution to z-z+2y+2t, y-3r +2y-4, a) using integrating factor method, b) using eigenvector decomposition, c) using undetermined coefficients Exercise 3.9.4. Find a particular solution to z-z+2y+2t, y-3r +2y-4, a) using integrating factor method, b) using eigenvector decomposition, c) using undetermined coefficients
solve this for i1 2 3 4 using decomposition methods LU Decomposition using Method 1 (based on Gauss Elimination) 3. LU Decomposition using Method 2 (Crout's Method) 2. 24 9X1-4X2-2x3 =-16 - 3x4 一4x1 + 17x2-6x3 2x16x2 +14x3-6x4 0 3x2-6x3 +14x4-18 LU Decomposition using Method 1 (based on Gauss Elimination) 3. LU Decomposition using Method 2 (Crout's Method) 2. 24 9X1-4X2-2x3 =-16 - 3x4 一4x1 + 17x2-6x3 2x16x2 +14x3-6x4 0 3x2-6x3 +14x4-18
LU Decomposition Gauss Method EX4: Solve the same problem using the Gauss method. Example 4-6: MATLAB user-defined function for solving a system of equations using LU decomposition with Crout's method. ( Y Suggestions Use the code from the Crout's method. Discard the LUdecomp Crout module and leave the rest. Modify Gauss Pivot to store all the ratios Create the lower triangular matrix Confirm that L.U = A. Solve the problem by the LU double substitution Determine the currents ij, in,...
Determine the Doolittle decomposition for the following matrix: 2 1 -2 -1 3 2 6 -4 14 19 4 0 -6 12 4 6 (25 marks)
Work out the decomposition in disjoint cycles for the following: 1 2 3 4 5 6 7 2 5 6 3 74 1 (14)(12345) (13) (2345) (12) (13) (14)
e) The temparature at the point y,z) is given by T(x,y,z) x2yz °C Use the method of tagrane multipliers to find the hottest and coldest points on the surface of the sphere x2y2z2 12. What are the hottest and coldest temperatures on the surface of the sphere in degrees Celsius? Question 2. (6 marks+ 4 marks+ 2 marks+3 marks+5 marks 20 marks) a) Find all solutions of the system of linear equation Ax = b where 2 3 12 5...
Show the partial fraction decomposition for the following expressions a) x-100 (2 marks) 2+8x-48 x+-34x +21x +145 -4x2 -3x+18 (2 marks) b) (2 marks) i) For each partial fraction decomposition answer from part a) use the expression i) Comment on the significance of the results. Show the partial fraction decomposition for the following expressions a) x-100 (2 marks) 2+8x-48 x+-34x +21x +145 -4x2 -3x+18 (2 marks) b) (2 marks) i) For each partial fraction decomposition answer from part a) use...
2(z+12)³+(z+12)⁵ 2(z + 12)3 + (z + 12,5 What is the greatest common factor of the polynomial? Select the correct choice below and fill in any answer boxes within O A. The GCF of the polynomial is - O B. The polynomial cannot be factored. GG