Prove that the general solution to a linear system with diagonal coefficient matrix Icirc diag( Icirc raquo 1, Icirc raquo n) is given by u(t) (c1e Icirc raquo 1t, , cne Icirc raquo nt)T Au

Question: Prove that the general solution to a linear system with diagonal coefficient matrix Î = diag(Î»1,... Î»n) is given by u(t) = (c1eÎ»1t,... , cneÎ»nt)T.

Prove that the general solution to a linear system with diagonal coefficient matrix Î› = diag(Î»1,... Î»n) is given by u(t) = (c1eÎ»1t,... , cneÎ»nt)T.

= Au

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