Question: 11. Let x be a solution to Ax = g where x = Ag. Show that y is a solution where y = x +

11. Let x₀ be a solution to Ax = g where x₀ = A⁻¹g. Show that y is a solution where y = x₀ + z for all vectors z that belong to the orthogonal complement of the column space of A'.

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11. Let x be a solution to Ax = g where x = Ag. Show that y is a solution where y = x + z for all vectors z that belong to the orthogonal complement of the column space of A'.

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