Question

Find (a) a basis for and (b) the dimension of the solution space of the homogeneous system of linear equations.
  x1 − 3x2 +   x3 +   x4 = 0
2x1 +   x2 −   x3 + 2x4 = 0
  x1 + 4x2 − 2x3 +   x4 = 0
5x1 − 8x2 + 2x3 + 5x4 = 0

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