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Mathematics
Problem
Consider the matrix
A
=
(
1
2
3
1
2
3
4
5
6
)
A=\begin{pmatrix}1 & 2 & 3\\ 1 & 2 & 3\\ 4 & 5 & 6\end{pmatrix}
A
=
1
1
4
2
2
5
3
3
6
. Without expanding its determinant, justify whether
A
A
A
is singular or non-singular.
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