The Matrix Is the Reduced Echelon Matrix for a System $$\left[ \begin{array} { l l l l | l } 1 & 0 & 0 & 7 & 4 \\0 & 1 & 0 & 0 & 7 \\0 & 0 & 1 & 9 & 5 \\0 & 0 & 0 & 0 & 0\end{array} \right]$$

question 164

Short Answer

The matrix is the reduced echelon matrix for a system with variables x 1 , x 2 , x 3 , and x 4 . Find the solution set of the system. $$\left[ \begin{array} { l l l l | l } 1 & 0 & 0 & 7 & 4 \\0 & 1 & 0 & 0 & 7 \\0 & 0 & 1 & 9 & 5 \\0 & 0 & 0 & 0 & 0\end{array} \right]$$ If a system is inconsistent, so indicate.

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Definitions:

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Group Selection

A theory in evolutionary biology proposing that natural selection operates on groups or populations, favoring traits that benefit the group as opposed to the individual.

Gene-Centered View

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Evolution by Natural Selection

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