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Mathematics
Mathematics
Problem
A
3
×
3
3\times3
3
×
3
matrix
M
M
M
has its first and second rows identical. Which of the following is necessarily true about
det
(
M
)
\det(M)
det
(
M
)
? a)
det
(
M
)
=
∏
i
=
1
3
M
i
i
\det(M)=\displaystyle\prod_{i=1}^{3}M_{ii}
det
(
M
)
=
i
=
1
∏
3
M
ii
b)
det
(
M
)
\det(M)
det
(
M
)
cannot be determined from the given information c)
det
(
M
)
=
0
\det(M)=0
det
(
M
)
=
0
d)
det
(
M
)
=
1
\det(M)=1
det
(
M
)
=
1
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