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Intuitively what happens here, is while we are in the span of v_1, we approach the origin in the state space phase portrait.
v_1
x_1
x_2
The same intuition applies here as for x_1
v_2
State Space Phase Portrait
If lambda_1 and lambda_2 were stable…
v_1
x_1
x_2
v_2
Or we could have an archimedes spiral inwards or something like that