$$ Let A =\begin{bmatrix}
1 & -5 & -7 \\
-3 & 7 & 5 \\
\end{bmatrix} , u = \begin{bmatrix}
1 \\
2\\
3\\
\end{bmatrix}, b= \begin{bmatrix}
-2\\
-2\\
\end{bmatrix},$$

and define a transformation T : R3 → R² by T(x) = Ax then

a. find T(u).

b. Find x ∈ R3 whose image under T is b.

c. Is x unique ?

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  • 3 weeks ago

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