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Mathematics
Mathematics
Problem
Let
A
=
[
1
−
2
3
0
]
A=\begin{bmatrix}1 & -2\\3 & 0\end{bmatrix}
A
=
[
1
3
−
2
0
]
and
C
=
[
4
−
8
12
0
]
C=\begin{bmatrix}4 & -8\\12 & 0\end{bmatrix}
C
=
[
4
12
−
8
0
]
. Determine the scalar
k
k
k
such that
k
A
=
C
kA=C
k
A
=
C
.
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