3. (a) (b) dx dt = 3x + y - z; dy dt = 3x + 5y + z; dz dt = -6x + 2y + 4z For the system above, define matrix A and vector X and write the system in matrix form. Show all work to solve the system and clearly state the general solution vector X

Q: Use Cramer's rule to solve the system (x-6y=6 3x +2y = -2 I y =

A: Given system of linear equations :                                               x - 6y = 6   and…

Q: help me with this plz

A: Step 1: Step 2: Step 3: Step 4:

Q: How can the position in a matrix (i=1,j=1) be started?

A:

Q: Write the system in the form Ax = B and use x = A-'B to solve the system for each matrix В. Tị + 2x2…

A:

Q: 3. Let B = {[4] [7]} and c={[7][7]} 4 9 C a. Find the change of coordinate matrix from C to B.

A:

Q: onsider the three equations of x+ y+ z = 1 and y – x = 0 and y + z = -1. Place them ato a system of…

A:

Q: 4 Find the general solution of the linear system i х. -8 -7

A: To find the general solution of the linear system: x˙=54−8−7x

Q: Find all basic solutions of the homogeneous linear system -¤1 +2xg +æ3 -2x4 +13 -214 0. -2x1 +4x2 I|…

A: Given the homogeneous linear system is -x1  +2x2  +x3  -2x4           =  0   ⋯⋯(1)+x3  -2x4…

Q: Verify that V = x14+ 2x22+2x1x2 + x12 is a Lyapunov function for the system described by the…

A:

Q: 11. Write the system in matrix form x' = 3x – 4y + z + t, y' = x + 2y – z + t², z' = 6y – 7z + t3

A: the matrix form of the given system of equation is ...

Q: Use carmer's rule to solve the system  x+2y-4z = 0 2x+5y      = 4         y- z   = 3

A: Firstly find ∆,∆x,∆y  and ∆z .If ∆,∆x,∆y,∆z≠0 then system has unique solution.and solution is…

Q: Take the system æ' = 10x? + 10y2 + 9xy, y' = e10x + 10y?. The Jacobian matrix is help (formulas)…

A: