[Solved] Let M be a 3 \\times 3 matrix satisfying M\\begin{bmatrix}0\\\\\\1\\\\\\0 \\end{bmatrix} = \\begin{bmatrix}-1\\\\\\2\\\\\\3 \\end{bmatrix}, M\\begin{bmatrix}1\\\\\\\\-1\\\\\\0 \\end{bmatrix} = \\begin{bmatrix}1\\\\\\1\\\\\\\\-1 \\end{bmatrix}, and M\\begin{bmatrix}1\\\\\\1\\\\\\1 \\end{bmatrix} = \\begin{bmatrix}0\\\\\\0\\\\\\12 \\end{bmatrix}. Then the sum of the diagonal entries of M is - - JEE (Advanced) 2011 Paper-2