Find the Inverse of the Matrix $$\left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$$

question 200

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$$

• A) \(\left[ \begin{array} { l l l } - 1 & - 1 & - 1 \\ - 2 & - 1 & - 1 \\ - 2 & - 2 & - 3 \end{array} \right]\)
• В) \(\left[ \begin{array} { r r r } - 1 & 1 & 0 \\ 4 & - 1 & - 1 \\ - 2 & 0 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c } 1 & 1 & 1 \\ \frac { 1 } { 2 } & 1 & 1 \\ \frac { 1 } { 2 } & \frac { 1 } { 2 } & \frac { 1 } { 3 } \end{array} \right]\)
• D) No inverse

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Definitions:

Mitochondria

Organelles found in the cytoplasm of eukaryotic cells that produce energy through cellular respiration, often referred to as the powerhouses of the cell.

Hydrolytic Enzymes

Enzymes that catalyze the cleavage of bonds in molecules through the addition of water.

Lysosomes

Organelles containing enzymes responsible for breaking down waste materials and cellular debris within cells.

Nonfunctional Organelles

Components within a cell that are no longer active or serving their purpose.