9.4.22 Question Help The given vector functions are solutions to the system x'(t) = Ax(t). 2...
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
1.5.15 Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x2 + 4x2 +8X3 = 16 - 12X1 - 12x2 – 24x3 = - 48 - 4x2 + 12x3 = 12 4X4 + 4x2 +8X3 = 0 -12X4 - 12x2 – 24x3 = 0 - 4x2 + 12x3 = 0 Describe the solution set, x= x2 , of the first...
Please show what answers go in what box clearly and show your steps Can u please solve both questions its my last question for the month (1 point) Given that the vectors X and X, are solutions of a system 1X = AX, find the Wronkian and determine whether the vectors form a fundamental set on (-00,). x-(-)«.x=[]+(3 W(X. X,) Fundamental set: (Y Yes or N for No): Y (1 point) Given that the vectors X1, X2, X, are solutions...
t2 2t 2) Consider the vector functions x1) (t)- (a) In what intervals they are linearly independent? (b) Is it true that they are fundamental solution set of a linear 2 x 2-system 1c) and t interval I-(-5,16)? If yes, find the related linear system (c) The same question from (b) but on the interval 1 = (1,00). t2 2t 2) Consider the vector functions x1) (t)- (a) In what intervals they are linearly independent? (b) Is it true that...
A9.4.13 Question Help Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). Let x = Select the correct choice below, and fill in the answer box to complete your choice. 5t O A. The vector functions are linearly dependent since there exists at least one point tin (-00,00) where det[xy(t) x2(t)] is not 0. In fact, det[x4(t) x2(t)] - OB. The vector functions are linearly independent since there exists at least one point...
The vectors 3 X3 =|-6|+t|4 X2 х, =|-2|+ t 12 are solutions of a system X' = AX Determine whether the vectors form a fundamental set of solutions.
Consider the linear system of first order differential equations x' = Ax, where x= x(t), t > 0, and A has the eigenvalues and eigenvectors below. 4 2 11 = -2, V1 = 2 0 3 12 = -3, V2= 13 = -3, V3 = 1 7 2 i) Identify three solutions to the system, xi(t), xz(t), and x3(t). ii) Use a determinant to identify values of t, if any, where X1, X2, and x3 form a fundamental set of...
i need help with the last part on each question. I am not understanding because I keep getting those parts incorrect. this is linear algebra 4-3 1 3 Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Ax b Then solve the system and write the solution as a vector A = 1 2 3 17 -4 -2 2 18 Write the augmented matrix for the linear system...
Verify that the given function form a fundamental set of solutions on the interval (0, 0), compute the Wronskian, and form the general solution. xy'' – 6xy' +12y = 0 x?; x+ I verified the solution. ONo Yes Find the Wronskian and verify that the functions are linearly independent on the interval (0, 0). W(x", x4) = 0 Preview I found the general solution. OYes ONO
Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A 01 0 0 10 0 0 0 0 0 1 00 - 29 10 et 0 0 el 0 -t 0 et 0 0 et O A. X(t) = 1 0 OB. X(t) = 0 51(5 cos 2t - 2 sin 2t) e5t (5 sin 2t+2 cos 2t) 0 0 2t2 cos 5t - 5 sin 5t) 2 (2 sin 5t + 5 cos...