Activity 2: Matrices as linear transformations

Instructions

[size=150]In the applet below, the matrix [i]T[/i] is applied to the square of side 2, centred at the origin. [br][br]Drag the slider to obtain a square of area 25.[/size]

[size=150]Now in the following applet, drag the slider to obtain a square of area 1.[/size]

[size=150]Explain what happens to the square when you apply the null matrix. That is, when [i]T[/i] = [0][sub]2,2[/sub].[/size]

[size=150]Based on your observations, which of the following statements are true?[/size]

The area of the [i]transformed[/i] square is equal to the determinant of [i]T[/i] times the area of the [i]original[/i] square. The area of the [i]transformed[/i] square is equal to the determinant of [i]T [/i]divided by the area of the [i]original[/i] square. The area of the [i]transformed[/i] square is equal to the determinant of [i]T.[/i] The area of the [i]transformed[/i] square is two times the area of the [i]original[/i] square.

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Information: Activity 2: Matrices as linear transformations