Find the Inverse of the Matrix $$\left[ \begin{array} { r r } 6 & 1 \\- 2 & 0\end{array} \right]$$

question 109

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r } 6 & 1 \\- 2 & 0\end{array} \right]$$

• A) \(\left[ \begin{array} { r r } 0 & - \frac { 1 } { 2 } \\ 1 & 3 \end{array} \right]\)
• B) \(\left[ \begin{array} { l r } 1 & 3 \\ 0 & - \frac { 1 } { 2 } \end{array} \right]\)
• C) \(\left[ \begin{array} { r r } 0 & \frac { 1 } { 2 } \\ - 1 & 3 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c } 3 & - \frac { 1 } { 2 } \\ 1 & 0 \end{array} \right]\)

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Definitions:

Sand Mold

A type of mold used in foundry casting processes, made from sand to create the cavity into which molten metal is poured.

Core

In manufacturing, the part of a mold that shapes the interior of a molded product or in computer science, a processing unit within a computer's CPU.

Cavity

In manufacturing, it refers to the hollow or recessed part of a mold into which material is injected or poured to form a particular shape.

White Iron

A hard, brittle form of cast iron, made by cooling the casting quickly, with a microstructure of cementite and pearlite.