Let A = " −1 1 1 −1 # . (a) Find the eigenvalues and eigenvectors, and the exponential e At . (b) Compute d dt(e At) by differentiating each component and confirm that d dt(e At) = AeAt . (c) Solve the system of the differential equations du1(t) dt = −u1(t) + u2(t), du2(t) dt = u1(t) − u2(t), with the initial condition u1(0) = 2, u2(0) = 5.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

98%

step-by-step explanation:

the answer is d

step-by-step explanation:

you can also use mathway to get you answer + steps