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Mathematics
Mathematics
Problem
Let
C
=
(
2
−
3
4
6
)
C=\begin{pmatrix}2 & -3\\4 & 6\end{pmatrix}
C
=
(
2
4
−
3
6
)
. Find
det
(
C
)
\det(C)
det
(
C
)
and choose the correct statement. a)
det
(
C
)
=
0
and
C
is singular
\det(C)=0 \text{ and } C \text{ is singular}
det
(
C
)
=
0
and
C
is singular
b)
det
(
C
)
=
−
24
and
C
is non-singular
\det(C)=-24 \text{ and } C \text{ is non-singular}
det
(
C
)
=
−
24
and
C
is non-singular
c)
det
(
C
)
=
24
and
C
is non-singular
\det(C)=24 \text{ and } C \text{ is non-singular}
det
(
C
)
=
24
and
C
is non-singular
d)
det
(
C
)
=
24
and
C
is singular
\det(C)=24 \text{ and } C \text{ is singular}
det
(
C
)
=
24
and
C
is singular
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