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Linear AlgebraMediumLinear Transformations

Linear Transformations · Medium problem

Let A=(1201)A = \begin{pmatrix}1 & 2\\0 & 1\end{pmatrix} and B=(1t01)B = \begin{pmatrix}1 & t\\0 & 1\end{pmatrix}, both shears. For which value of tt does BB exactly undo AA, i.e. AB=IAB = I?