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In Linear least squares, For any critical point "x" it must follow the linear system:

A(Transpose) * Ax = b * A(Transpose) where x is the critical point.

But here x is an n vector, so does that mean there are as many critical points (x) as there are columns?

So in case of an quadratic polynomial : 1 + X2*t + X3*t^2 with three parameters, would we have three critical points?

|1 t1 t1^2 |

|1 t2 t2^2 |

|1 t3 t3^3 |

|1 ... ..... |

|1 ... ..... |

Thanks in advance