Question: Consider the differential equation (3) -6/() + 11/0) -6f =0 We transform this differential equation into a system of differential equations by setting fr 4

Consider the differential equation (3) -6/() + 11/0) -6f =0 We transform this differential equation into a system of differential equations by setting fr "4 = h and looking for the three functions f. /), / at once, that is. for the vector (f. g. h) consisting of three functions. We then have three equations that have the form: do dh =6f - 11g + 6h Solving this system solves the differential equation. Answer the following questions ( Questions 1,2,3.1). Question 1 Write this system in matrix form as Av = Ac where v = (fig. hy. Find the trace of the 3 x 3 matrix A and its determinant. The trace is the sum of its diagonal terms. O Trace=6. determinant=6 O Trace=6, determinant=0 Trace=3, determinant=3 Trace=0, determinant=6

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