34) - a) A=/0 3 il 14 1-1) 27 -5 Solve X'=AX General solution) b) A=/6...
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by Gaussian elimination and express the general solution in vector form. (b) (5 points) Write down the corresponding homogenous system Ax-0 explicitly and determine all non-trivial solutions from (a) without resolving the system 7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by...
Please help me solve this, thanks! Find the general solution to the system x' = Ax where A is the given matrix. | -2 -2 -6 A= 0 0 6 | 0 -2 -8 b) X(t)=( X(t)= Ce 0 e) X(t)= C, e 20 +46?' -6 +2° -1 | 2 f) None of the above. Find the general solution to the system x'= Ax where A is the given matrix. 0 1 0 A= 0 0 1 | -20 16...
3. Find a general solution of the system X' = AX with 3 0 0 -3 4 (1) A (2) A = 0 2 0 (3) A 6 -5 4 0 1 -3 0 3 -5 0 5 0 0 -1 1 (4) A [1 7 4 -5 3 (5) A = 3 -5 -3 5 5 -1 3 (6) A 1 0 0 0 2 2 0 0 0 3 3 0 0 0 4 4
Find the general solution. 2. Find the general solution. X' = AX A= 1 1 0 1 0 1 0 1 1 Note: X = [X1 22 23 x3]".
1. Find a general solution of X" = AX with -5 4 (1) A= (2) A= 4 -5 2 3 1 -2 4 (3) A= 2 2 3 -3 (4) A= -6 2 4
2. Find a general solution of X' = AX if 3 -1 (1A A1 = 12 = 2 1 [ 1] 3 -1 (2) A= 1 Xi = 1; 12 = 13 = 2 1 (3) A = 1 Xi = 0; 12 = 13 = 5 1 (4) A= 5 -4 0 0 2 0 2 5 0 0 0 3 1 0-1 1 1 0 0 2 2 - 1 0 1 0 11 = 1; 12 =...
Find the most general real-valued solution to the linear system of differential equations x⃗ ′=[1−34−6]x⃗ .x→′=[14−3−6]x→. ⎡⎣⎢⎢[ x1(t)x1(t) ⎤⎦⎥⎥] x2(t)x2(t) =c1=c1 ⎡⎣⎢⎢[ ⎤⎦⎥⎥] + c2+ c2 ⎡⎣⎢⎢[ ⎤⎦⎥⎥] a. Find the most general real-valued solution to the linear system of differential equations a = [_3_-4). 1 4 3 - 6 xit) = C1 + C2 22(t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point /...
(3) 12 il 2. Find the best solution to the equation Ax = b, where: A= (1 2 and b = (1 -1) 6 .
(6) Determine the general solution x(a) to a dx 2do = a(1 - ax).
Solve for the general solution on question number 6. 9 5 -1) Cion of the given initial value problem. 4. X = -3 0 6. x' = 1 -1 0x -2 - 1 4 RC; si (b) solution (c) (d) 13. 0 are line (a efficien eigenve