# Question Solved1 AnswerIf $$T$$ is defined by $$T(x)=A x$$, find a vector $$x$$ whose image under $$T$$ is $$b$$, and determine whether $$x$$ is unique. Let $$A=\left[\begin{array}{rrr}1 & -4 & 3 \\ 0 & 1 & -3 \\ 3 & -13 & 9\end{array}\right]$$ and $\mathbf{b}=\left[\begin{array}{r} -6 \\ -11 \\ -4 \end{array}\right]$ Find a single vector $$x$$ whose image If $$T$$ is defined by $$T(x)=A x$$, find a vector $$x$$ whose image under $$T$$ is $$b$$, and determine whether $$x$$ is unique. Let $$A=\left[\begin{array}{rrr}1 & -4 & 3 \\ 0 & 1 & -3 \\ 3 & -13 & 9\end{array}\right]$$ and $\mathbf{b}=\left[\begin{array}{r} -6 \\ -11 \\ -4 \end{array}\right]$ Find a single vector $$x$$ whose image under $$T$$ is $$b$$. $x=$

Transcribed Image Text: If $$T$$ is defined by $$T(x)=A x$$, find a vector $$x$$ whose image under $$T$$ is $$b$$, and determine whether $$x$$ is unique. Let $$A=\left[\begin{array}{rrr}1 & -4 & 3 \\ 0 & 1 & -3 \\ 3 & -13 & 9\end{array}\right]$$ and $\mathbf{b}=\left[\begin{array}{r} -6 \\ -11 \\ -4 \end{array}\right]$ Find a single vector $$x$$ whose image under $$T$$ is $$b$$. $x=$
Transcribed Image Text: If $$T$$ is defined by $$T(x)=A x$$, find a vector $$x$$ whose image under $$T$$ is $$b$$, and determine whether $$x$$ is unique. Let $$A=\left[\begin{array}{rrr}1 & -4 & 3 \\ 0 & 1 & -3 \\ 3 & -13 & 9\end{array}\right]$$ and $\mathbf{b}=\left[\begin{array}{r} -6 \\ -11 \\ -4 \end{array}\right]$ Find a single vector $$x$$ whose image under $$T$$ is $$b$$. $x=$