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Mathematics
Mathematics
Problem
Consider the matrix
A
(
k
)
=
(
k
1
1
1
k
1
1
1
k
)
A(k)=\begin{pmatrix}k & 1 & 1\\1 & k & 1\\1 & 1 & k\end{pmatrix}
A
(
k
)
=
k
1
1
1
k
1
1
1
k
. For which value(s) of
k
k
k
is
A
(
k
)
A(k)
A
(
k
)
singular? a)
k
=
1
k=1
k
=
1
only b)
k
=
−
2
k=-2
k
=
−
2
only c)
k
=
1
k=1
k
=
1
or
k
=
−
2
k=-2
k
=
−
2
d)
k
=
1
k=1
k
=
1
or
k
=
2
k=2
k
=
2
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