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Determine whether the polynomial x 2 + 4 x + 5 belongs to span { x 2 + x - 1 , 2 x +

Determine whether the polynomial

x^{2} + 4 x + 5

belongs to span

{x^{2} + x - 1, 2 x + 1}

and fully

justify your conclusion.

You may use MATLAB to perform all necessary row reductions. If you use MATLAB, then

include code and output

(

.

.,

screenshot

)

alongside your answer.

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