Find Inverse of the Matrix $$\left[ \begin{array} { l l l } 2 & 2 & 0 \\0 & 2 & 0 \\1 & 0 & 1\end{array} \right]$$

question 56

Multiple Choice

Find inverse of the matrix. $$\left[ \begin{array} { l l l } 2 & 2 & 0 \\0 & 2 & 0 \\1 & 0 & 1\end{array} \right]$$

• A) \(\left[ \begin{array} { c c c }
• 2 & - 2 & 0 \\
• 0 & 2 & 0 \\
• - 2 & 1 / 2 & 1
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• 2 & - 1 / 2 & 0 \\
• 1 & 2 & 0 \\
• - 2 & 1 / 2 & 1
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c }
• 1 & - 1 & 1 \\
• 0 & 1 / 2 & 0 \\
• - 1 & 1 / 2 & 1
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• 1 / 2 & - 1 / 2 & 0 \\
• 0 & 1 / 2 & 0 \\
• - 1 / 2 & 1 / 2 & 1
• \end{array} \right]\)
• E) none

---

Definitions:

Hypothesis

A testable statement about the nature of an observation or relationship. Compare with scientific theory.

Decomposers

Microbial heterotrophs that break down dead organic material and use the decomposition products as a source of energy. Also called saprotrophs or saprobes.

Ecosystem

A community of living organisms in conjunction with the nonliving components of their environment, interacting as a system.

Available Nutrients

Nutrients present in the environment that can be readily absorbed and used by organisms for growth and metabolism.