Question: Need help! 3. Use the matrix exponential to solve the following systems in terms of y1 (0) and y2 (0) dyl = 4y1 + 92

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3. Use the matrix exponential to solve the following systems in terms of y1 (0) and y2 (0) dyl = 4y1 + 92 dyl = 4y1 + 92 a dt b. dt dt 2 = -291 + 92 dt dyz = -2y1 + 92 dyl = y1 dt C. duz = y1 + y2 dt 4. Use Euler's formula: er = cos0 + isin 0, to show that the rotation matrix R(0) = cos 0 - sin 0 sin 0 cos 1 satisfies R(0 ) = exp 0 1 0 ), BER

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