the co-ordinates of the transformed rectangle are:
d. (0, 0), (0, 3), (-3, 3), (-3, 0)
step-by-step explanation:
from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:
(0, 0), (0, 3), (3, 3), (3, 0)
r = ![\left[\begin{array}{cc}-1& 0\\0& 1\ \end{array}\right]](/tex.php?f=\left[\begin{array}{cc}-1& 0\\0& 1\ \end{array}\right])
transformed matrix can be obtained by multiplying the given matrix by r:
![\left[\begin{array}{cc}-1& 0\\0& 1\ \end{array}\right] \left[\begin{array}{cccc}0& 0& 3& 3\\0& 3& 3& 0\\ \end{array}\right]](/tex.php?f=\left[\begin{array}{cc}-1& 0\\0& 1\ \end{array}\right] \left[\begin{array}{cccc}0& 0& 3& 3\\0& 3& 3& 0\\ \end{array}\right])
![=\left[\begin{array}{cccc}0& 0& -3& -3\\0& 3& 3& 0\\ \end{array}\right]](/tex.php?f==\left[\begin{array}{cccc}0& 0& -3& -3\\0& 3& 3& 0\\ \end{array}\right])
columns of the transformed matrix are:
0 0 -3 -3
0 3 3 0
from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:
(0, 0), (0, 3), (-3, 3), (-3, 0)
![The vertices of a rectangle are given in the columns of the matrix . if is found to perform a transf](/tpl/images/05/05/0AMS3aebTRNsa7Ci.jpg)