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where A is an m by n matrix, b is a given m element vector and x is an n-element solution vector.In the most usual case m???n and rankA=n, so that A has full rank and in this case the solution to problem (1) is unique; the problem is also referred to as finding a least squares solution to an overdetermined system of linear equations.When m<n and rankA=m, there are an infinite number of solutions x
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