engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Linear Algebra Matrix Algebra
Let M be a 3 × 3 matrix satisfying:
\(M\left[ {\begin{array}{*{20}{c}} 0\\ 1\\ 0 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} { - 1}\\ 2\\ 3 \end{array}} \right],\;M\left[ {\begin{array}{*{20}{c}} 1\\ { - 1}\\ 0 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 1\\ 1\\ { - 1} \end{array}} \right],\;and\;M\left[ {\begin{array}{*{20}{c}} 1\\ 1\\ 1 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 0\\ 0\\ {12} \end{array}} \right]\)
Then the sum of the diagonal entries of M is :
1
9
2
12
3
6
4
0