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Mathematics
Mathematics
Problem
Let
A
=
[
1
−
2
3
4
0
−
1
]
A = \begin{bmatrix} 1 & -2 & 3 \\ 4 & 0 & -1 \end{bmatrix}
A
=
[
1
4
−
2
0
3
−
1
]
and
B
=
[
2
−
4
6
8
0
−
2
]
B = \begin{bmatrix} 2 & -4 & 6 \\ 8 & 0 & -2 \end{bmatrix}
B
=
[
2
8
−
4
0
6
−
2
]
. Determine the real number
k
k
k
such that
k
A
=
B
kA = B
k
A
=
B
. a)
−
2
-2
−
2
b)
2
2
2
c)
1
2
\dfrac12
2
1
d)
1
1
1
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