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Question Number 138133 by mathmax by abdo last updated on 10/Apr/21

let A = (((1          −1)),((2              3)) )  1)calculate e^A     and e^(tA)   2)find cosA  ,sinA  3) find log(1+A)

$$\mathrm{let}\:\mathrm{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:−\mathrm{1}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\mathrm{calculate}\:\mathrm{e}^{\mathrm{A}} \:\:\:\:\mathrm{and}\:\mathrm{e}^{\mathrm{tA}} \\ $$$$\left.\mathrm{2}\right)\mathrm{find}\:\mathrm{cosA}\:\:,\mathrm{sinA} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{find}\:\mathrm{log}\left(\mathrm{1}+\mathrm{A}\right) \\ $$

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