What is the (unique) solution to the system when all the non-basic variables are set to 0 once in reduced echelon form. X1 E- X2 X3 X4 || -X1 4x1 3x1 2x1 +x2 -5x2 -4x2 +6x3 -2x2 - 6x3 +3x3 +2x4 = +3x3 +2x4= +4x4 = 4x4 = 4 1 5 -8

Q: Find all the solutions of the system of equations x, + 2x, - x, = 1, 3x, – 2x, + 2x, = 2, 7x, – 2x,…

A: We have the system of equations: x1+2x2-x3=13x1-2x2+2x3=27x1-2x2+3x3=5 We can write it in matrix…

Q: 3. Is (3, 4, –2) a solution of the following system? 5x, - x, +2x, = 7 -2x, + 6x, +9x, = 0 -7x, +…

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Q: Solve the system 5x1 -4x2 +2x3 +3x4 = +x2 +3x3 +3x4 4x1 -3x2 +5x3 +6x4 3 3 2x1 -2x2 -6x3 -6x4 -6 12…

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Q: Solve the system X1 +x2 3 X2 +x3 1 X3 +x4 1 X1 +x4 3 X2 +sl X3

A: Given equations are x1 + x2 = 3 x2 + x3 = 1 x3 + x4 = 1 x1 + x4 = 3

Q: Solve the system 4x1 -3x2 +2x3 +4x4 +x2 +3x3 +3x4 -I1 5 3x1 -2x2 +5x3 +7x4 -2x1 +2x2 +6x3 +6x4 10…

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Q: Determine if the montsivial Solution system has 3x, + 5x2-7x3=0 6x, t 7c2 t X3=O

A: The given system of equations are, -3x1+5x2-7x3=0-6x1+7x2+x3=0

Q: Find the set of solutions for the linear system -2x1 + + 6x2 Use s1, s2, etc. for the free variables…

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Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

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Q: Solve the system x1 = x2 = x3 = X4= X1 3x1 -> A F - +2x3 -2x3 x2 -3x2 +16x3 -X2 +2x3 +3x4 - 2x4…

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Q: Solve the system 21 12 23 || -10 1 0 -9 -10 1 0 +s 0 1 0 1 +t 1 0 4x1 -3x2 -I1 +12 -212 +3x2 3x1…

A: The given system of linear equation…

Q: 2x, - x, + 3x, = 24 2x2 - x, = 14 7x, - 5x2

A: According to Gauss-Jordan Elimination method first we will write the given system into augmented…

Q: 9. Consider the matrix -1 3 A = -4 2 k 4 -2 6. (a) If A is the augmented matrix of a system of…

A: Since not a particular question asked as per guildlines solution to only first question is given…

Q: H.W:- Solve The linear sysTems 3 2 x+3y+2 -1/W = | 52-2y+s2-4w= S X-ツ+32-3W:3 %3D 3A+4y-72+2w=-7

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Q: Solve the system. X2 13 I4 -2060x₁ -362x1 -826x₁ +8 16480x2 2896x2 6608x2 15812x3 + 7500x4 2750x3 +…

A: -2060x1-16480x2-15812x3+7500x4=128848-362x1-2896x2-2750x3+1306x4=22456-826x1-6608x2-6638x3+3114x4=53…

Q: Explain why there are no solutions of the system x + 2y + 3z 2x + 4y + 7z 3x + 6y + 2z 1 = 1. 3 =

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Q: Solve the system x1 x2 x3 X4 = +s x1 x2 - X3 x3 - X4 +x4 = = 7 -1 -4

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Q: Solve the system 21 X2 103 LC4 = +8 +t 521 -622 +3x3 +324 = 2 -21 +22 +2x3 +324 = 2 4x15x2 +5x3 +6x4…

A: We can solve the system of linear equations by using matrix method very easily. So let them into…

Q: Find the set of solutions for the linear system X1 + 3x2 3x3 -10 X2 4x3 -3 4x3 -8 - Use s1, s2, etc.…

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Q: Find the complete solution of the system 5x+3y+11z= 37      +3y+z= 12 5x+9y+13z= 61

A: Substitution method: - The substitution technique may be an easy approach for the resolution of…

Q: Solve the system 21 X2 x3 C4 +s +t 5x1 -21 4x1 3x1 -6x2 +2x3 +₂ +3x3 +5x3 -9x3 -5x2 -3x2 +2x4 = +2x4…

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Q: Solve the linear system X -y 2x - 2y 3x - 3y + 2z + 4z + 6z || || || = 5 10 15

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Q: Find the nullspace of the system {4x1 – 2x2 (2x1 X1 + 2x2 – x3 – 4x4 + x5 + 2x6 = 0 + 3x5 – x6 = 0.…

A: We have to find a basis for the null space, we form an augmented matrix by appending a column of…

Q: 2x-2y -2=3 4X+5y-22-3 Jx+4y-32-구

A: we have to find the values of x, y, and z.

Q: The number of suits that should be made to maximize profit is The number of dresses that should be…

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Q: Solve the system X1 X2 X3 X4 X5 x6 = -5x5+2x6= 3 -x4+4x5+3x6 = 9 -9x5+6x6=-1 x1-2x2-2x3 x1-2x2 + s+…

A: Step 1:Step 2:

Q: Solve the system X1 x2 X3 4 || +s +t 4x1 -3x2+2x3 +3x4: -X1 +x2 +2x3 +3x4 3x12x2 +4x3 -3x₁ +3x₂ +63…

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Q: Use substitution to find the general solution of the system x₁ = 3x₁ + 7x2, x2 = 3x1 - 1x2.

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Q: Find a complete solution of the system x3 = -x2 + X3 x2 = -x1 + x2 + 2x3 x3 = x1 + 2x2 + x3 given…

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Q: ((-a) X₁ 2X₁ -X. where A This linear sptemquation max from Axab: 2X₁ (4-0)X₂1 -X₁ 2 Since 4 (1) Al 2…

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