Question

A parallelogram can be represented as [ -1/5 4/6]. What is the area of the parallelogram?

Answer 1

Given the matrix:

`\begin{bmatrix}{-1} & {4} \\ {5} & {6}\end{bmatrix}`

Therefore, the area of the parallelogram is the absolute determinant of the matrix.

`|det\begin{bmatrix}{-1} & {4} \\ {5} & {6}\end{bmatrix}|=|(-1*6)-(5*4)|=|-6-20|=|-26|=26`

Hence, the answer is

`26unit^2\text{ \lparen Option B\rparen}`