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need solution to all the questions thanks

Name: 12.18 pts] Find all values of k such that the matrix| has two distinct real elgenvalues. 6 13. (8 ptsl Let L be the lin
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12 5 6 det (A- xI) (-x) - 5k 5 (5k ) If A has tuodutinct eal eigen walues. then Discriminant , D = 25 + 4 (Sk+6) > 0 20 13. Lram Schmidt broces f rthog onalu ation, 2. V3 ゾ3 lus

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