In Order for a Matrix a to Have an Inverse $\left( \begin{array} { r r } 3 & 6 \\- 2 & 1\end{array} \right)$

question 34

Essay

In order for a matrix A to have an inverse, its determinant cannot be zero. Derive the determinant of the following matrices:
A = $\left( \begin{array} { r r } 3 & 6 \\- 2 & 1\end{array} \right)$ B = $\left( \begin{array} { r r r } 1 & - 1 & 2 \\1 & 0 & 3 \\4 & 0 & 2\end{array} \right)$ X'X where X = (1 10)

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Definitions:

Dull Pressure

A physical sensation often described in medical contexts as a consistent, moderate intensity force or weight felt in a particular area of the body.

Nociception

The sensory nervous system’s response to potentially harmful stimuli, leading to the perception of pain.

Phantom Limb Pain

The sensation of pain or discomfort in a limb or part of the body that has been amputated.

Causalgia

A persistent, severe burning pain that usually follows an injury to a nerve, characterized by sensitivity to touch and temperature changes.