Level:
Project ID:
2000018303
Accepted:
0
Clonable:
0
Easy:
1
Let \(E\) denote an identity matrix of order \(2\) and let matrix
\[
M
=
\left (\array{
m &0\cr
0 & 2\cr
} \right ) .
\]
Find all the values of \(m\) so that the equality below holds.
\[
M^2-\frac52M+E=0
\]
\(m=2\) or \(m=\frac12\)
\(m=\frac12\)
\(m=2\)
\(m=2\) or \(m=-\frac12\)