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Mathematics
Mathematics
Problem
If
A
=
(
1
2
3
4
)
A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}
A
=
(
1
3
2
4
)
and
B
=
(
4
−
2
1
0
)
B = \begin{pmatrix} 4 & -2 \\ 1 & 0 \end{pmatrix}
B
=
(
4
1
−
2
0
)
, calculate
A
B
AB
A
B
. a)
(
5
0
4
4
)
\begin{pmatrix} 5 & 0 \\ 4 & 4 \end{pmatrix}
(
5
4
0
4
)
b)
(
−
2
0
1
2
)
\begin{pmatrix} -2 & 0 \\ 1 & 2 \end{pmatrix}
(
−
2
1
0
2
)
c)
(
6
−
2
16
−
6
)
\begin{pmatrix} 6 & -2 \\ 16 & -6 \end{pmatrix}
(
6
16
−
2
−
6
)
d)
(
6
0
16
−
6
)
\begin{pmatrix} 6 & 0 \\ 16 & -6 \end{pmatrix}
(
6
16
0
−
6
)
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