Ak75713 Ak75713

03-12-2017
Mathematics

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Matrix question.....will pick brainiest

Evaluate the Determinant

[tex] \left[\begin{array}{ccc}X&1&-1\\X^2&X&X\\0&X&1\end{array}\right] [/tex]

Plz help.....thank you

Respuesta :

mathmate mathmate

03-12-2017

Expand by the bottom row:
0*([1,-1],[x,x]+x([-1,x],[x,x^2])+1([x,1],[x^2,x])
=0+x(-x^2-x^2)+1(x^2-x^2)
=0+(-2x^3)+1(0)
=-2x^3

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