I have worked out $a = -5$ and $b = -5/2$ which I'm confident is correct. However, what I'm struggling with is understanding what matrix $B$ is meant to become.
Any help will be appreciated. Thanks
2026-03-25 04:40:18.1774413618
Finding change of variables to give linear homogeneous system
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$$Y' = AY+b$$
Suppose $X=Y-c$, where $c$ is a constant vector.
then we have $$X'=Y'$$
and $$AY+b = A(X+c)+b=AX+(Ac+b)$$
Hence $$X' = AX+(Ac+b)$$
Hence if you pick $c$ such that $Ac+b=0$, then we have $X'=AX$, that is $B$ is just $A$.