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question 56

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Solve the problem.
-  Given that xyzabc245=3, find the value of the determinant 2453a3b3cx2y4z5\text { Given that } \left| \begin{array} { l l l } x & y & z \\a & b & c \\2 & 4 & 5\end{array} \right| = 3 \text {, find the value of the determinant } \left| \begin{array} { l l l } 2 & 4 & 5 \\3 a & 3 b & 3 c \\x - 2 & y - 4 & z - 5\end{array} \right| \text {. }


Definitions:

Predation

An interaction between species where one organism, the predator, feeds on another organism, the prey, influencing the evolution of both.

Phorid Flies

Phorid flies are small insects known for their distinctive humpbacked appearance and are often found in decaying organic matter.

Parasitoids

Parasitoids are organisms, primarily insects, that lay their eggs on or in the bodies of other organisms (the host), leading to the eventual death of the host post-infestation.

Invasive

An invasive species refers to non-native plants, animals, or pathogens that spread rapidly in new environments, often disrupting local ecosystems and causing harm to native species and habitats.

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