0 0 votes The maximum value of "a" such that the matrix $\begin{pmatrix} -3&0&-2 \\ 1&-1&0 \\ 0&a&-2 \end{pmatrix}$ has three linearly independent real eigenvectors is $\dfrac{2}{3\sqrt{3}} \\$ $\dfrac{1}{3\sqrt{3}} \\$ $\dfrac{1+2\sqrt{3}}{3\sqrt{3}} \\$ $\dfrac{1+\sqrt{3}}{3\sqrt{3}}$ Linear Algebra gate2015-ee-1 linear-algebra matrices eigen-values eigen-vectors + – Misbah Ghaya 616 views answer comment Share Follow 0 reply Please log in or register to add a comment.