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The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, ...

The equation `[[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][[x ,y, z]] =[[0,0, 0]]` has `a` solution for `(x ,y ,z)` besides `(0,0,0)dot` Then the value of `k` is _______.

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The correct Answer is:
2
`|(1,2,2),(1,3,4),(3,4,k)|=0`
or `1(3k-16)-2(k-12)+2(4-9)=0`
or `3k-16-2k+24-10=0`
or `k=2`
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