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- #1

- Feb 5, 2012

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We are given the following question.

I don't expect a full answer to this question, but I don't have any clue as to what is a Matrix Unit. Do any of you people know what is a matrix unit?Find the matrix of the linear transformation \(f:M_{2}(\Re )\rightarrow M_{2}(\Re )\) given by \(f(X)=X\begin{pmatrix}a&b\\c&d\\ \end{pmatrix}\), with respect to the basis of matrix units \(E_{11},\,E_{12},\,E_{21},\,E_{22}\).