Why does this not contradict theorem 6

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Reference no: EM131065422

Construct a 2 X 2 matrix A such that the solution set of the equation Ax = 0 is the line in R2 through (4; 1) and the origin. Then, find a vector b in R2 such that the solution set of Ax = b is not a line in R2 parallel to the solution set of Ax = 0. Why does this not contradict Theorem 6?

Reference no: EM131065422

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