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Penyebaran populasi capung yang berada di dua kolam \\(P\\) dan \\(Q\\) dapat dimodelkan sebagai berikut. Setiap hari, \\(20\\%\\) capung yang berada dalam kolam \\(P\\) akan pindah ke kolam \\(Q\\). Sebaliknya, \\(30\\%\\) capung yang berada dalam kolam \\(Q\\) akan pindah ke kolam \\(P\\). Misalkan \\(P_t\\) dan \\(Q_t\\) berturut-turut menyatakan banyaknya capung pada kolam \\(P\\) dan \\(Q\\) setiap waktu. Maka dapat diperoleh sistem persamaan beda \\(\\begin{cases} P_{t+1}&=0.8P_t+0.3Q_t \\\\ Q_{t+1}&=0.2P_t+0.7Q_t \\end{cases}\\).
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\nTentukan nilai $\\lambda_1$, $\\lambda_2$, $a$, dan $b$ berturut-turut.
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