Answer:
[tex]\{(0,0) (0,9) (9,0)\}[/tex]
Step-by-step explanation:
Given
See attachment for matrix
From the attachment, we have the following vertices
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (0,3)[/tex]
[tex](x_3,y_3) = (3,0)[/tex]
When scaled by 3T, we have the following:
[tex](x_1,y_1) =3 * (0,0)[/tex]
[tex](x_1,y_1) =(0,0)[/tex]
[tex](x_2,y_2) = 3 * (0,3)[/tex]
[tex](x_2,y_2) = (0,9)[/tex]
[tex](x_3,y_3) = 3 *(3,0)[/tex]
[tex](x_3,y_3) = (9,0)[/tex]
Hence, the vertices are:
[tex]\{(0,0) (0,9) (9,0)\}[/tex]