Let \( A=\left[\begin{array}{rrr}1 & -1 & 0 \\ 2 & 1 & 3 \\ 1 & 2 &...
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Let \( A=\left[\begin{array}{rrr}1 & -1 & 0 \\ 2 & 1 & 3 \\ 1 & 2 & 1\end{array}\right] \) and \( B=\left[\begin{array}{ccc}1 & 2 & 3 \\ 2 & 1 & 3 \\ 0 & 1 & 1\end{array}\right] \). Find \( A^{T}, B^{T} \) and verify that
\[
(A B)^{T}=B^{T} A^{T}
\]
\( \mathrm{P} \)
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