engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Linear Algebra System of Linear Equations
Let \(M = \left[ {\begin{array}{*{20}{c}} \alpha &1&1\\ 1&\beta &1\\ 1&1&\gamma \end{array}} \right],\alpha \beta \gamma = 1,\; \propto ,\;\beta ,\;\gamma ,\in \;R\) and \(x = \left[ {\begin{array}{*{20}{c}} {{x_1}}\\ {{x_2}}\\ {{x_3}} \end{array}} \right] \in {R^3}\).
The Mx = 0 has infinitely many solutions if trace (M) is ______
Enter numerical value using the virtual keypad. Round off where necessary.