Consider the system x1 + x + 2x3 + x4 = 1 2x2x4 = -2. 1....

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Consider the system x1 + x₂ + 2x3 + x4 = 1 ₁2x2x4 = -2. 1. Find the basis for the solution space of the system. Verify that such set is linearly independent and provide 2 vectors spanned by the set that are solutions to the system. 2. Show that the equation hold: dim A = rank A+ null A where A is the coefficient matrix. Consider the system x1 + x₂ + 2x3 + x4 = 1 ₁2x2x4 = -2. 1. Find the basis for the solution space of the system. Verify that such set is linearly independent and provide 2 vectors spanned by the set that are solutions to the system. 2. Show that the equation hold: dim A = rank A+ null A where A is the coefficient matrix.

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To find the basis for the solution space of the system we need to solve the system of equations and determine the free variables The coefficient matri... View the full answer