engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Linear Algebra Matrix Algebra
Consider the matrix
\({J_6} = \left[ {\begin{array}{*{20}{c}} 0&0&0&0&0&1\\ 0&0&0&0&1&0\\ 0&0&0&1&0&0\\ 0&0&1&0&0&0\\ 0&1&0&0&0&0\\ 1&0&0&0&0&0 \end{array}} \right]\)
Which is obtained by reversing the order of columns of the Identity matrix I6.
Let P = I6 + α J6, where α is a non-negative real number. The value of α for which det (P) = 0 is _________.
Enter numerical value using the virtual keypad. Round off where necessary.