Let α,β and γ be real numbers such that the system of linear equationsx+2y+3z=α4x+5y+6z=β7x+8y+9z=γ−1is consistent.Let |M| represent the determinant of the matrix M=⎡⎢⎣α2γβ10−101⎤⎥⎦.Then the value of |M| is

Let α,β and γ be real numbers such that the system of linear equati

1.	Let α,β and γ be real numbers such that the system of linear equationsx+2y+3z=α4x+5y+6z=β7x+8y+9z=γ−1is consistent.Let \|M\| represent the determinant of the matrix M=⎡⎢⎣α2γβ10−101⎤⎥⎦.Then the value of \|M\| is
Answer» Let $α, β$ and $γ$ be real numbers such that the system of linear equations $x + 2 y + 3 z = α$ $4 x + 5 y + 6 z = β$ $7 x + 8 y + 9 z = γ - 1$ is consistent. Let $\| M \|$ represent the determinant of the matrix $M = ⎡ ⎢ ⎣ \begin{matrix} α & 2 & γ β & 1 & 0 - 1 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦ .$ Then the value of $\| M \|$ is