1 1 -1 2 A = 2 -1 52 11 -27 a. Find a basis for the solution space of the homogeneous equation Ax = 0 and its dimension. st b. Determine the set of all vectors b = = [r t] in R³ such that Ay = b for some y in Rª. Is this set a subspace? If it is, find a basis for this subspace and determine its dimension.

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