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2x2-matrix/Trace/Determinant sum/Exercise
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Let
M
{\displaystyle {}M}
be a
2
×
2
{\displaystyle {}2\times 2}
-
matrix
. Show that
trace
(
M
)
=
1
+
det
M
−
det
(
E
2
−
M
)
{\displaystyle {}\operatorname {trace} {\left(M\right)}=1+\det M-\det {\left(E_{2}-M\right)}\,}
holds.
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