a.Assuming a, b, and k are constants, calculate the following derivative: (d/dt)( [ [a],[b] ]ekt = ? b.Find a value k so that [[1],[1]]ekt is a solution to x'= [[1,3],[3,1]]x. k = ? c.Find a value k so that [[1],[-1]]ekt is a solution to x'= [[1,3],[3,1]] k=? d.Write down a general solution in the form x1(t)=? and x2(t)=? , i.e., write down a formula for each component of a solution. Use A and B to denote arbitrary constants. The A should go with the first k you found above, and B should go with the second k you found above. x1(t)= ? x2(t)=? Whenever I use brackets I am denoting a matrix since I cannot copy and paste it, most of the matrixes, are vertical

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