Let T be a square matrix and I be the corresponding Identity Matrix.

Show that if is sufficiently small, there exists a linear Operator S such that .

Hint: expand log(1+x) in a Taylor series.

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- March 15th 2010, 05:05 PMEinStoneExponential of matrices
Let T be a square matrix and I be the corresponding Identity Matrix.

Show that if is sufficiently small, there exists a linear Operator S such that .

Hint: expand log(1+x) in a Taylor series. - March 17th 2010, 12:59 PMOpalg