Find a basis for and the dimension of the solution space of the homogeneous system of linear equations. -X1 + 2x₂ X3 + 2х4 = 0 -2x1 + 2x₂ + X3 + 4x4 = 0 3x₁ + 2x₂ + 2x3 + 5x4 = 0 -1x1 + 6x2 + 4x3 + 13x4 = 0 (a) a basis for the solution space ↓ ↑ (b) the dimension of the solution space

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