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Mathematics
Problem
Calculate the product
A
B
AB
A
B
where
A
=
(
1
−
1
2
−
2
)
,
B
=
(
1
1
1
1
)
.
A=\begin{pmatrix}1&-1\\2&-2\end{pmatrix},\qquad B=\begin{pmatrix}1&1\\1&1\end{pmatrix}.
A
=
(
1
2
−
1
−
2
)
,
B
=
(
1
1
1
1
)
.
State the resulting matrix.
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