The solution to the system of linear differential equations x'(t) = Ax(t) involves which matrix function?
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Matrix exponential
The matrix exponential e^(At) is defined by a power series similar to the scalar exponential function. It is a critical tool for solving systems of linear differential equations and analyzing dynamical systems.
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- Which matrix function is used to solve systems of linear differential equations of the form x'(t) = Ax(t)?