[Step-by-Step] An invertible linear transformation T is defined. Determine a similar definition for T^-1 Given: T: R^3 \rightarrow R^3 defined by T([lx_1


Question: An invertible linear transformation \(T\) is defined. Determine a similar definition for \(T^{-1}\)

Given: \(T: R^{3} \rightarrow R^{3}\) defined by \(T\left(\left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3}\end{array}\right]\right)=\left[\begin{array}{c}x_{1}+x_{2}+x_{3} \\ x_{1}+3 x_{2}+4 x_{3} \\ 2 x_{1}+4 x_{2}+x_{3}\end{array}\right]\)

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