If the matrix ⎡⎢⎣a11a12a13a21a22a23a31a32a33⎤⎥⎦ is inverti – InterviewSolution

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1.	If the matrix ⎡⎢⎣a11a12a13a21a22a23a31a32a33⎤⎥⎦ is invertible, then the planes a11x+a12y+a13z=0, a21x+a22y+a23z=0 and a31x+a32y+a33z=0(aijϵR,∀i,j)
Answer» If the matrix $⎡ ⎢ ⎣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ⎤ ⎥ ⎦$ is invertible, then the planes $a_{11} x + a_{12} y + a_{13} z = 0$ , $a_{21} x + a_{22} y + a_{23} z = 0$ and $a_{31} x + a_{32} y + a_{33} z = 0 (a_{i j} ϵ R, \forall i, j)$

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