Change in Matrix Representation

        The following applet exhibits the change in the matrix representation of a linear transformation with a change in basis.

                Let be defined by  

                Let  and 

        i)  Matrix of   with respect to :


             i.e. .  Hence


        ii)  Matrix with respect to :


        iii)  Matrix of change of basis from to :


        iv)  Matrix for change of basis from to :


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