Activity 2: Matrices as linear transformations

Instructions

In the applet below, the matrix T is applied to the square of side 2, centred at the origin. Drag the slider to obtain a square of area 25.

Now in the following applet, drag the slider to obtain a square of area 1.

Explain what happens to the square when you apply the null matrix. That is, when T = [0]_2,2.

Based on your observations, which of the following statements are true?

Select all that apply

A
The area of the transformed square is equal to the determinant of T times the area of the original square.
B
The area of the transformed square is two times the area of the original square.
C
The area of the transformed square is equal to the determinant of T divided by the area of the original square.
D
The area of the transformed square is equal to the determinant of T.