Consider-the-system-of-equations-a-1-x-b-1-y-c-1-z-0-a-2-x-b-2-y-c-2-z-0-a-3-x-b-3-y-c-3-z-0-if-determinant-a-1-b-1-c-1-a-2-b-2-c-2-a-3-b-3-c-3-0-then-the-system-has-

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Question Number 55843 by gunawan last updated on 05/Mar/19

$$\mathrm{Consider}\mathrm{the}\mathrm{system}\mathrm{of}\mathrm{equations}$$$$a_{1}x+b_{1}y+c_{1}z=0,a_{2}x+b_{2}y+c_{2}z=0,$$$$a_{3}x+b_{3}y+c_{3}z=0\mathrm{if}$$$$\left|\begin{array}{ccc}{a}_1& b_1& c_1\\ a_2& b_2& c_2\\ a_3& b_3& c_3\end{array}\right|=0,\mathrm{then}\mathrm{the}\mathrm{system}\mathrm{has}$$

Commented by gunawan last updated on 05/Mar/19

$$\mathrm{What}\mathrm{the}\mathrm{answer}\mathrm{is}x=y=z=0?$$

Answered by 121194 last updated on 05/Mar/19

$$\mathrm{the}\mathrm{system}\mathrm{was}\mathrm{infinite}\mathrm{solutions}$$

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