Question: Please show the work (different equations) Formula for a 2x2 inverse. If A = 2 2 . then Add = d -c = -b det

Please show the work (different equations)

Formula for a 2x2 inverse. If A = 2 2 . then Add = d -c = -b det A a ad - bc 1. Consider the IVP X' = | -10 8 3 -8 X (a) Use eigenvalue and eigenvector methods to find a fundamental set of solutions. (b) State the general solution. (c) Find the particular solution that satisfies the initial value X(0) =; 2. Consider the system X' = (a) Use eigenvalue and eigenvector methods to find a fundamental set of solutions. (b) State the general solution. 3. Consider the system 2 2 X' = 1 31 X 2 2 (a) The eigenvalues of the matrix are d = 1, 1,5. Use eigenvector methods to find a funda- mental set of solutions. (b) State the general solution

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