DIRECTIONS: SOLVE THE FOLLOWING SYSTEMS OF LINEAR EQUATIONS BY LU DECOMPOSITION METHOD AND BY CRAMER'S RULE 1.) 2x+5y=21,x+2y=8 2.) 2x+5y=16,3x+y=11 3.) 2x+3y-z=5,3x+2y+z=10,x-5y+3z=0 )x+y+z=3,2x-y-z=3₂x-y+z=9

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: (Record the answer in the numerical res If y is the length and x is the width of a rectangle, then…

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Q: Solve the following system of equations by LU decomposition: 8x1 + 4x2 - хз %3 11 -2x1 + 5x2 + x3 =…

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Q: Q-2: [1 0 2 1 1 [1 -21 and B: [1 a) Let A 1 1 If possible, compute A + BT and [i 1 -1] 3 ВТА. X1 +…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Obtain the answer of the following linear equation system by Gaussian elimination method. -12 +2r3 =…

A: To solve the given system of equations by Gaussian elimination method.

Q: Express the following system of linear equations as a vector equation. 1x1 +4x2 - 6x3 = -5 -2x1 +…

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Q: Use Cramer's Rule to solve the following system of linear equations 2л + 3у + 62 3 3 x + 2y + 2z =…

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Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 5 + 3x3,…

A: Suppose the solution set of a certain system of linear equations can be described as x1=5+3x3,…

Q: 3. The (2 × 2) of linear equations a1x7 + b1y + + b2y + C1z = dj C22 = d2 a2x is geometrically…

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Q: Consider (1,0,3) = U and (0,1,3) = V to be solutions of a 3x4 system. Determine if U + V is a…

A: U+V is not a solution of the 3×4 system unless the system is homogeneous.   The detailed solution is…

Q: (a) Write b as a linear combination of the column vectors a1 and a2. (b) Use the result from part…

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Q: For each one of the following systems of linear equations: I) 20 8x1 + 3x2 12.x2 + 6x3 X1 + 10r3 30…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: x1 + 2x2 + 3x3 = 6 2х1 - 3х2 + 2x3 = 14 3x1 +x2-x3 =-2

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Q: X, + x, +x3 - 2x, = 2 2x, — 3х, + х, — 4х, 3 6 x, + 2x, – 3x, + 4x, = -5 denklem sistemini Cramer…

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Q: Solve the given linear system using LU Decomposition

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Q: Q2 // Calculate X1, X2 ,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + x2…

A: Gauss Elimination Method: The Gaussian elimination method is known as the row reduction algorithm…

Q: 1. 3X1 + 4X2 = -2 5X1 + 3X2 = 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Use Gauss elimination with back substitution to solve the system of linear equations: 8x, +x,…

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Q: x₁ + 2x₂ + 3x3 = 6 2x13x2 + 2x3 = 14 3x₁ + x₂ - x₂ = -2

A: We have to solve the given system of equations using Cramer's rule.