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Mathematics
Problem
For the matrix
P
=
(
1
0
2
0
3
−
1
4
0
k
)
,
P=\begin{pmatrix}1 & 0 & 2\\ 0 & 3 & -1\\ 4 & 0 & k\end{pmatrix},
P
=
1
0
4
0
3
0
2
−
1
k
,
determine the value(s) of
k
k
k
for which
P
P
P
is invertible.
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