LINEAR SYSTEMS Find the state transition matrix of the following system:2where A = [¹4²] BC = [01]O a.O b.O c.O d.[e-t(cos2t + sin2t)[e-t (cos2t + sin2t)2e-tsin2t[e-t (cos2t + sin2t)[e-t(co[e-t(cos2t + sin2t)-2e-tsin2te-tsin2te-t(cos2t - sin2t)-e-tsin2te-t(cos2t - sin2t)-e-tsin2te-t (cos2t - sin2t)e-t sin2te-t(cos2t - sin2t)e-t(cos2t + sin2t)-2e-tsin2te-tsin2te-t(cos2t - sin2t)

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Find the state transition matrix of the following system: = [] C = [0_1] 2 where A = [¹4²] -4 O a. O b. О с. O d. [e-t(cos2t + sin2t) 2e-tsin2t [e-t (cos2t + sin2t) (cos2t + sin2t) -2e-tsin2t e-t(cos2t + sin2t) B = e-tsin2t e-t(cos2t - sin2t)] -e-tsin2t e-t(cos2t - sin2t) -e-tsin2t e-t (cos2t - sin2t) e-tsin2t e-t(cos2t - sin2t) t(cos2t + sin2t) e-tsin2t e-t(cos2t - sin2t)