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In: Advanced Math

For which values of λ does the system of equations (λ − 2)x + y =...

For which values of λ does the system of equations

(λ − 2)x + y = 0

x + (λ − 2)y = 0

have nontrivial solutions? (That is, solutions other than x = y = 0.) For each such λ find a nontrivial solution.

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