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Mathematics
Mathematics
Problem
Let
A
=
(
1
2
3
2
4
6
0
1
1
)
A=\begin{pmatrix}1&2&3\\2&4&6\\0&1&1\end{pmatrix}
A
=
1
2
0
2
4
1
3
6
1
. Which statement is true about
A
A
A
? a)
det
(
A
)
=
2
\det(A)=2
det
(
A
)
=
2
and
A
A
A
possesses an inverse. b)
det
(
A
)
=
0
\det(A)=0
det
(
A
)
=
0
but
A
A
A
possesses an inverse. c)
det
(
A
)
=
0
\det(A)=0
det
(
A
)
=
0
and
A
A
A
has no inverse. d)
det
(
A
)
≠
0
\det(A)\neq0
det
(
A
)
=
0
and
A
A
A
possesses an inverse.
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