Calculations
Suppose that we want to compute the exponential of
Its Jordan form is
where the matrix P is given by
Let us first calculate exp(J). We have
The exponential of a 1×1 matrix is just the exponential of the one entry of the matrix, so exp(J1(4)) = . The exponential of J2(16) can be calculated by the formula exp(λ + N) = eλ exp(N) mentioned above; this yields
Therefore, the exponential of the original matrix B is
Read more about this topic: Matrix Exponential
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