find the general solution of the following as follows Xn+2 = -2Xn+1 + 3Xn, x0=1 x1=2 a) find...

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find the general solution of the following asfollows
Xn+2 = -2Xn+1 + 3Xn, x0=1 x1=2

a) find the 2x2 matrix that satisfies Yn+1=AYn
b) Find the characteristic value of A and its correspondingcharacteristic vector
c) express X0 = (1 2)as a linear combination of characteristicvector
d) find Yn
e) find Xn

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Solutiona In matrix form we can write the equation aswhere b The characteristic values    See Answer
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