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(Solved): Current Attempt in Progress Let \( T_{1}: R^{2} \rightarrow R^{2} \) and \( T_{2}: R^{2} \rightarro ...




Current Attempt in Progress
Let \( T_{1}: R^{2} \rightarrow R^{2} \) and \( T_{2}: R^{2} \rightarrow R^{2} \) be the linear o
Current Attempt in Progress Let \( T_{1}: R^{2} \rightarrow R^{2} \) and \( T_{2}: R^{2} \rightarrow R^{2} \) be the linear operators given by the formulas \[ T_{1}(x, y)=(x+y, x-y) \quad \text { and } \quad T_{2}(x, y)=(4 x+y, x-4 y) \text {. } \] Find formulas for \( T_{1}^{-1}(x, y), T_{2}^{-1}(x, y) \), and \( \left(T_{2} \circ T_{1}\right)^{-1}(x, y) \). \[ T_{1}^{-1}(x, y)= \] \[ T_{2}^{-1}(x, y)= \] \[ \left(T_{2} \circ T_{1}\right)^{-1}(x, y)= \]


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