Use the given transformation matrix to transform the vector [math]\vec{v} = \langle 3, –5 \rangle[/math]. Graph both [math]\vec{v}[/math] and the transformed vector [math]\vec{v}\prime[/math] with their initial points at the origin, and then find the determinant of the transformation matrix to determine what type of transformation this represents.
[list=1] [*]Write the given vector as a column vector. [*]Multiply the corresponding column vector by the given matrix on the left. [*]Graph both [math]\vec{v}[/math] and the transformed vector [math]\vec{v}\prime[/math] with their initial points at the origin. [*]Find the determinant of the transformation matrix, and use the result to determine what type of matrix it is. [/list]