Question 18 Let A = 1 0 -1 -C 1 3 02c-4 (i) Show that det A = 2(c+2)(c − 3). - (ii) Use part (i) above to solve the system

Q: In(x-2) 1- Find ,limx¬2 in(x²-4) 2- Solve the system . [2x1 +2x2 - 3x3 X1 + x2 + 2 x3 = 1, %3D %3D

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Q: Find the intersection points for the syster below: f (x) = 2(x+4)² – 15 8(x) - 4x² + 15x – 15 -…

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Q: Solve the following system: - x' (t) = -x₁ (t) + 2x2 (t) + 2x3 (t) — 2 x' (t) = 2x₁ (t) + 2x2 (t) +…

A: We solve by using eigenvalues and eigenvectors.

Q: 400 X1 600 X3 x2 X4 300 100 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an…

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Q: Can u do 6 and 7 . I will rate you thank you

A: step 2 complete solution

Q: *29 y-5=m(k-iD= 0(x-1) =O y-5=0 y=5

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Q: 2x + y -4 44. -2y + 4z 0. 3x - 2z = -11

A: 44. Solution :2x+y=-4   .... 1-2y+4z=0 .... 23x-2z=-11   .... 3equation 2…

Q: Find the LU factorization of A -3 -5 6 15 - That is, write A = LU where is a lower triangular matrix…

A: Since you have posted multiple different questions, so we will solve only the first question for you…

Q: Use Cramer's rule to determine the solution of the system kx₂ = 4 (2-k)x₁+ kx₁ + (3-k)x₂ = 3 For…

A: The system of equations(2−k)x1+kx2=4kx1+(3−k)x2=3Cramer's methodLet

Q: Solve the following system of equations for X: • 2x + y = 4 •x- 2 y = 7 1. 3. 4. 3. 2.

A: We will use substitution to solve these equations

Q: 5-7. Solve the following systems of equations algebraically. Show all of your steps. a.) x+y33 x…

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Q: For the following system of nonlinear equations, give all solutions, including any non-real complex…

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Q: 1S) Solve the system: (a) Graphically: {(x – 1)? + (y – 3)² = 4 y=x Work: 8- 6+ (b) Algebraically…

A: We have to solve the system x-12+y-32=4y=x Solution (a): To find the solution of the system…

Q: If A = (a) (x, y) = (b) (x, y) = then A-1 = 4x - 7y = 44 3x - 5y = 32 - (-5 4x - 7y = -28 3x - 5y =…

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Q: 8. Which of the following set are the intervals of the root partition? A. x4 x>-3 -3>x>-1-1> x2…

A: Given that :Following intervals are provided as :A.  , , B. C. D. To find : Set that are intervals…

Q: (1) Given that A= 4=(²7¹) and B=(2 7³). (a) A+B (b) AB (c) AT determine

A: The given matrices and .The aim is to find the following,(a) (b) (c) .Note:Since you have posted…

Q: System: x'=x-y, y' = 4x+y, = 2e¹ sin 2t.

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Q: Solve the system 3 9 dx dt -1 -3 with æ(0) : 4 Give your solution in real form. x2

A: Given system is of the form X' =AX. We have to find eigenvalues and associated eigenvectors of the…

Q: 14. Determine the number of real solutions of the system (A) 0 (B) 1 [y=x² + 1 y = 1 © 2 OD 3

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Q: ズ-( ) * -2 3 %3D 0 -2 21 6te ( *¯) a) Verify that X (t) = ( 5 and X2(t) = ( 2e 21 are solutions to…

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Q: 1- Let A- then AT .. 2- Let C =-4 5 and D -21 = [8 find C.D. 3 -4 %3D 4 3- Use Gramer's rule to…

A: To answer the given question based on matrices.

Q: 0.1 x − 0.6 y + z = 0 −2 x + 8 y + 0.3 z = 1 x + 6 y + 4 z = 2 Solve the system of equations

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Q: (b) 3x17x2 + 4x3 = 10 x12x2 + x3 = 3 2x1 x22x3 = 6

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Q: Find the LU factorization of A = A = and use FORWARD SUBSTITUTION AND BACKWARD SUBSTITUTION to solve…

A: Given matrix is A = 3-49-14 Express the matrix A as the product of a lower triangular matrix L and…

Q: (2x + 4y + 2z = -2 Solve the system of linear equations x - y + 3z = -1 by Cramer's Rule. -x + 7y -…

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Q: X+ダ-34=t (1) → (2) リ+X+2X - 2 =e Xcn =し XC1) = 0,ye) =-2 c) xC1) = 0 / yC) --2 ,c) :c→た

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Q: Do two steps of the Newton's iteration for solving the system of nonlinear equations: 2ỉ + 2 = 1 I…

A: Use the following formulae, to find the approximate solution of the nonlinear system by the Newton's…

Q: dx dt || with x (0) X2 -3 1 -10 3 -3 [:] 3 Т Give your solution in real form. x1

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Q: Use Cramer's Rule to solve the system 5x + 2y3z = 1 x + 5y 3z = -2 5x - 3y + 5z = 2

A: Here we have to solve the system of linear equation using cramer's rule.

Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 300 X2…

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