Express the given system of higher-order differential equations as a matrix system in normal form. x+ 4x+3y = 0 y"- 5x=0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? O A. X1 = x', x, =y' O B. X1 = X, X2 = x', x3 =y x = y Oc. X1 =x', X, = x", xg =y' x=y O D. X1= X, X2 = x", Xg = y, X = y" Write the system of equations using matrix notation, Select the correct choice below and fill in the answer box to complete your choico. (Type an exact answer.) O A. X2 X2 X1 X2 OB.

Q: Solve the given (matrix) linear system: (3cos(t) X + 2et 2. X' 14

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Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. -2x1…

A: Using Gauss elimination method

Q: Consider the system of differential equations -7y2, +7y1. a. Rewrite this system as a matrix…

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Q: 2. (a) (b) dx dt = -14x +39z; dz dt = -6x + 16z For the system above, define matrix A and vector X…

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Q: Solve the given (matrix) linear system: 3cos(t) X' = ; x+ (3cos() [2 14 - 2 2et

A: Given X'=2-142X+3cos(t)2et The objective is to solve the above system.

Q: Rewrite the following higher order equations and systems as first order systems and write them in…

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Q: 5. Solve the system by using the matrix exponential 0 1 0 *-[2] + [2]· --[] x' = x x(1) = -3t 3

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Q: 6. Consider the following system of four linear equations in five variables. 2x1 + 4x2 – 2x3 + 2x4 +…

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Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

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Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: -3 *-[1]-*-[;)] and Az = 2a - 4b. = Let A be a 3 x 2 matrix with linearly independent columns.…

A: x is just the linear combination of u and v.