GATE ECE 2021 | Question: 36

Question

A real $2\times2$ non-singular matrix $A$ with repeated eigenvalue is given as

$$A=\begin{bmatrix} x & -3.0\\ 3.0 & 4.0 \end{bmatrix}$$

where $x$ is a real positive number. The value of $x$ (rounded off to one decimal place) is ________________