(3) (a) Find the smallest positive solution of the system of linear congruences x = 3 (mod 5) * = 7 (mod 9) x = 4 (mod 13).

Q: 3. Consider the differential equation y' +2y= 0. a) The equation above is first order linear…

A: a) write y' =dydx The equation becomes dydx+2y=0 separate the variables and write it again by…

Q: maximize 2=QXi+ 5xgt 6x3+4x4 Jubject to (1) 6xx+3x2+ 5x3t 2xy sIO (2) (3) (4) X3+x4S I + X3 xj is…

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Q: Start with 100 equations Ax= 0 for 100 unknowns x = (x1, ... ,x100). Suppose elimination reduces the…

A: Start with 100 equations Ax= 0 for 100 unknowns x=x1,...,x100. Suppose elimination reduces the 100th…

Q: Suppose 71 and 72 are solutions of the system A = b, where b + 0. Let aj and a2 be scalars such that…

A: Proceed as shown

Q: [x-4 Let A = -3 -6 -71 [1 3 0 x+1 -3 10 and B = 3 0 0 Lo a) Find values of x for which the matrix A…

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Q: Solve the following system using the Gaussian algorithm: 2x1 – x2 + 3x3 = - = -1 = 0 = 3 -2x1 + x2 –…

A: Given the equations 2x1-x2+3x3=-1 -2x1+x2-x3=0 x1-3x2+6x3=3 First, we will find the solution vector…

Q: [4 8 17 A =| 5 9. 19 1 4 A-1 : (b) Use the answer from part (a) to solve the linear system 4x1 8x2 +…

A: if AX = B then X = A-1 B

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A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find all solutions of the system of congrucences солу da st 8x + 5y = 1 (mod 13) 4x + 3y = 3 (mod…

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Q: 1. Find all solutions of the system of congruences x = 4 (mod 5), x = 5 (mod 6).

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Q: aup 4. Find all solutions of the system of congruences 2x = 1 (mod 5), 3x4 (mod 7).

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Q: 7) Determine which values of K, will give 1, no solution, infinitely a unique Solution. 2 many…

A: To determine the values of k will give a unique solution, no solution, infinitely many solutions.

Q: Find the general solution to the system of congruences: x ≡ 3 (mod 7), x ≡ 4 (mod 13).

A: We have to find a general solution to the system of congruences:x ≡ 3 (mod 7),x ≡ 4 (mod 13).

Q: 4. How many solutions does the equation x1 + x2 + x3 + x4 = 18 have, such that x1, x2 and x3 are…

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Q: Let gcd (a,m) = 1 then the solution of the linear congruence ax = b (mod m) x = a(p)-¹b (mod p) x =…

A: Introduction: The greatest common divisor of two integers is an integer that divides both of the…

Q: --- Let A = = 1 2 1 6³1 -1 -5 5 -2 -8 6 (i)Find the solution of Ax = c where c= 4 [4] tion of {[1 -1…

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Q: Solve using Gauss - Jordan Elimination 3x₁ - 7x2 - 2x3 = 37 x₁ - 3x2 = 15 13 -7 -3 -2 37 23] 15 Ap)…

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Q: Solve for y 512y12x+12 529y2x+2 V4y8x+4 Show all steps! 32y5x+5

A: The explanation of answer as follows

Q: 3. Find all solutions of the system of congruences (mod 12), (mod 10). x = 5 x = 8

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Q: Match the systems of linear congruences on the left to their solutions on the right. O Instructions…

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