For which conditions on b = (b₁,b2, b3, b4) do there exist solution(s) for the linear system Ax = b? 1 [1 2 3 6 12 12 10 4 8 14 16 0 2 6 14 (a) A = (b) A: = 1 1 1 1 1 22 4 4 6 06 60 12 12 4 4 4 4 4 4 1 6

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A: reduced the augmented matrix into row reduced form

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A: From the given system:

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A: (A:b)=120000013-70003-6 we have to find the solution of this system.

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Q: 记= 12 一 -2.

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Q: 4. Solve the following three systems of equations: (a) -x – 4y + 2z = 4 x + 2y – z= 3 x + y - z= 8…

A: Given equation: a)  -x - 4y + 2z = 4   .... 1x + 2y -z = 3 ...........2x + y -z = 8…

Q: 11. Which system of linear equations has the solution (2, 3)? A. 2x - 5y = 9 x-y = 4 C. 9x - 8y = 19…

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Q: Which is a solution to the following system of equations? + 3: = 1 2y + 2: = 4 = 3 (r, y, 2) = (4,…

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A: From the given information:

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Q: 11. Find the value of k such that the system X, - x, + 2x, = -4 %3D X +x, +kx, = 4 (-x; +kx, + x, =…

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Q: The following system has the following pivot variables. ..? 2 – 2x, – 3x, – 6x3 - 5x4 + 2x5 = 7 X3 +…

A: Hence option (a) is correct.

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Q: i 2 0] a) Use Gauss-Jordan elimination to find the inverse of A= 0 4 2 3 0 3 5. b) Use A' to solve…

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