Hp 50g Graphing Calculator Uživatelský manuál stáhnout pdf (Strana 352)

• If A is a square matrix and A is non-singular (i.e., it’s inverse matrix

exist, or its determinant is non-zero), LSQ returns the exact solution to

the linear system.

• If A has less than full row rank (underdetermined system of equations),

LSQ returns the solution with the minimum Euclidean length out of an

infinity number of solutions.

• If A has less than full column rank (over-determined system of

equations), LSQ returns the "solution" with the minimum residual value

e = A⋅x – b. The system of equations may not have a solution,

therefore, the value returned is not a real solution to the system, just the

one with the smallest residual.

Function LSQ takes as input vector b and matrix A, in that order. Function LSQ

can be found in Function catalog (‚N). Next, we use function LSQ to

repeat the solutions found earlier with the numerical solver:

Square system

Consider the system

The solution using LSQ is shown next:

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Hp 50g Graphing Calculator Uživatelský manuál Strana 352