1 1 vote Let $A$ be an $8 \times 8$ matrix of the form \[ \left[\begin{array}{cccc} 2 & 1 & \ldots & 1 \\ 1 & 2 & \ldots & 1 \\ \vdots & \vdots & \ddots & \vdots \\ 1 & 1 & \ldots & 2 \end{array}\right] \] Which of the following is true? [Hint: Use $\operatorname{det}(I+A B)=\operatorname{det}(I+B A)$ ] $\operatorname{det}(A)=9$ $\operatorname{det}(A)=18$ $\operatorname{det}(A)=14$ $\operatorname{det}(A)=27$ None of the above Linear Algebra tifr2015 linear-algebra determinant + – admin 516 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
