For "The magnitude of the matrix 2 & -2 1 & 4 ". In the context of a 2 x 2 matrix in a multiple-choice question, "magnitude" most commonly refers to the deter

The question asks for "The magnitude of the matrix $\begin{pmatrix} 2 & -2 \\ 1 & 4 \end{pmatrix}$". In the context of a $2 \times 2$ matrix in a multiple-choice question, "magnitude" most commonly refers to the determinant of the matrix.

For a $2 \times 2$ matrix $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$, the determinant is given by the formula $ad - bc$.
Given matrix $A = \begin{pmatrix} 2 & -2 \\ 1 & 4 \end{pmatrix}$.
Here, $a