1. Describe the set of b for which the following system does have a solution. 21 + 2x2 + 2x3 = b₁ + 7x2 + 8x3 =b₂ 3x1 -21 + 2x3 b3 Give a specific example of a vector b for which the system has a solution. 2. Are the following linear systems possible? If it is possible for such a system to exist, give an example of an augmented row-reduced echelon matrix which satisfies the description. If it's not possible, explain why not. A. A linear system of 3 equations, 3 unknowns, with infinitely many solutions B. A linear system of 3 equations, 4 unknowns, with exactly one solution C. A linear system of 3 equations, 2 unknowns, with exactly one solution D. A linear system of 3 equations, 2 unknowns, with no solutions

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Q: Consider the fold 2x₁ - 8x₁ 5x1 2 - 4x3 = 7 +6x3 = -3 + 2x2 -9x3 = 15 14 -6 +3x₂ +4x2 30 2X1 - 8x1…

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Q: 2. Let Ax = b be a system of linear equations in variables. Designate the columns of A as a, a, a,…

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Q: (d) Consider the following system of linear equations 2x1 - 3x2 + x3 - 3x4 + 2x5 = 6 2x1 - 3x2 + 5x3…

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A: We have to write the system of linear equations which has as its corresponding augmented matrix.

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