Linear Algebra Quiz
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Matrix
A
A
A
has the property that
A
4
=
2
A
2
A^4 = 2A^2
A
4
=
2
A
2
. Which statement about the possible values of
det
(
A
)
\det(A)
det
(
A
)
is correct?
A
det
(
A
)
∈
{
0
,
1
,
−
1
,
2
,
−
2
}
\det(A) \in \{0, 1, -1, 2, -2\}
det
(
A
)
∈
{
0
,
1
,
−
1
,
2
,
−
2
}
are the only possibilities
B
det
(
A
)
∈
{
0
,
2
,
−
2
}
\det(A) \in \{0, 2, -2\}
det
(
A
)
∈
{
0
,
2
,
−
2
}
are the only possibilities
C
det
(
A
)
\det(A)
det
(
A
)
can be any real number satisfying
det
(
A
)
2
=
2
\det(A)^2 = 2
det
(
A
)
2
=
2
D
det
(
A
)
∈
{
0
,
2
,
−
2
}
\det(A) \in \{0, \sqrt{2}, -\sqrt{2}\}
det
(
A
)
∈
{
0
,
2
,
−
2
}
are the only possibilities
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