Question: Suppose A is a 2 x 2 real matrix with an eigenvalue A = 4 + 51' and corresponding eigenvector a [1 +1] 1: =

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Suppose A is a 2 x 2 real matrix with an eigenvalue A = 4 + 51' and corresponding eigenvector a [1 +1] 1: = . . 1', Determine a fundamental set (i_e_i linearly independent set) of solutions for f} f 2 Ag; where the fundamental set consists entirely of real solutions. Enter your solutions below. Use 3 as the independent variable in your answers. y (t ) = pit " cos( 5+ ) [ ] - smist) [ ; ] ] it [ sin ( 5t ) [ - 1 ] + cos ist) [! ]] Set of solution gilt ) = e / coscats [ - ] - sicsty [ ; ] ] 4, ct ) = e "/ sin (5t) [ -: ] + cas (st) [ ; ] ] 4t e cos 5 t - e smist - es mist yo ( t ) = 4t e sust te cosst e 45 cos 5t This is the
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