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LTR-0030/main.tex

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@@ -243,9 +243,9 @@ \section*{Practice Problems}
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\begin{problem}\label{prob:noinversetrans}Explain why linear transformation $T:\RR^2\rightarrow\RR^2$ given by $$T\left(\begin{bmatrix}x\\y\end{bmatrix}\right)=\begin{bmatrix}2x+2y\\-3x-3y\end{bmatrix}$$ does not have an inverse.
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\end{problem}
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\begin{problem}\label{prob:inverseislinear}
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Prove Theorem \ref{th:inverseislinear}.
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\end{problem}
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%\begin{problem}\label{prob:inverseislinear}
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%Prove Theorem \ref{th:inverseislinear}.
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%\end{problem}
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\begin{problem}\label{prob:compofinvisinvofcomp} Suppose $T:U\rightarrow V$ and $S:V\rightarrow W$ are linear transformations with inverses $T'$ and $S'$ respectively. Prove that $T'\circ S'$ is the inverse of $S\circ T$.
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\end{problem}

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