Question: The plane z = Ax + By + C is to be fitted to the following points (Xk,)k,Zk): (0,0, 1), (0,0,0), ( - 1, -1,

The plane z = Ax + By + C is to

The plane z = Ax + By + C is to be "fitted" to the following points (Xk,)k,Zk): (0,0, 1), (0,0,0), ( - 1, -1, -1), (-1,0,0). Find the values of A, B, and C that minimize _ (AX* + Byk + C -Zk ) 2, the sum K = 1 of the squares of the deviations. . . . A= B = C = (Simplify your answers.)

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