Find the Inverse Matrix of A $$A = \left[ \begin{array} { r r } - 3 & 6 \\5 & 0\end{array} \right]$$

question 166

Multiple Choice

Find the inverse matrix of A.
- $$A = \left[ \begin{array} { r r } - 3 & 6 \\5 & 0\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } 0 & \frac { 1 } { 5 } \\ \frac { 1 } { 6 } & \frac { 1 } { 10 } \end{array} \right]\)
• B) \(\left[ \begin{array} { c c } \frac { 1 } { 6 } & \frac { 1 } { 10 } \\ 0 & \frac { 1 } { 5 } \end{array} \right]\)
• C) \(\left[ \begin{array} { r r } 0 & - \frac { 1 } { 5 } \\ - \frac { 1 } { 6 } & \frac { 1 } { 10 } \end{array} \right]\)
• D) \(\left[ \begin{array} { c c } \frac { 1 } { 10 } & \frac { 1 } { 5 } \\ \frac { 1 } { 6 } & 0 \end{array} \right]\)

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Definitions:

Zygote

The single cell formed at conception from the union of the sperm and the ovum.

Identical Cells

Cells that are genetically the same, typically resulting from the division of a single original cell.

Blastocyst

A structure formed in the early development of mammals, consisting of a sphere made up of an outer layer of cells, a fluid-filled cavity, and a cluster of cells on the interior.

Implantation

The process by which a developing organism becomes attached to the uterus.