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Mathematics
Mathematics
Problem
Consider the matrix
D
=
(
1
0
2
2
3
4
3
6
8
)
D=\begin{pmatrix}1 &0 &2\\2 &3 &4\\3 &6 &8\end{pmatrix}
D
=
1
2
3
0
3
6
2
4
8
. Calculate
det
(
D
)
\det(D)
det
(
D
)
and identify the correct conclusion. a)
det
(
D
)
=
0
;
D
is singular
\det(D)=0;\;D\text{ is singular}
det
(
D
)
=
0
;
D
is singular
b)
det
(
D
)
=
−
6
;
D
is non
–singular
\det(D)=-6;\;D\text{ is non\,–singular}
det
(
D
)
=
−
6
;
D
is non
–singular
c)
det
(
D
)
=
6
;
D
is non
–singular
\det(D)=6;\;D\text{ is non\,–singular}
det
(
D
)
=
6
;
D
is non
–singular
d)
det
(
D
)
=
6
;
D
is singular
\det(D)=6;\;D\text{ is singular}
det
(
D
)
=
6
;
D
is singular
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