Let v be a vector and A be a matrix. Let x be a solution to Ax=y.
Do one of the following:
i. Explain why, for any solution x to Ax=0, the vector x=x+y is a solution to Ax=y.
ii. Explain why any solution x to Ax=y can be written as x=x₀+x′ where x′ is a solution to Ax=0.