Question

Matrices!!! Please help!!!!

Answer 1

Find a 2x2 matrix
\[X =\]\[\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\] with real entries such that \[X ^{2}+2X=-5I _{2}\]

Answer 2

Note \[I _{2}=\left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right]\]

Answer 3

I is the 2x2 identity matrix

Answer 4

so we want something in which looks like this?