Question

The vertices of a rectangle are given in the columns of the matrix r= [ 0 0 0 6 6 6 6 0]. If 3x [0 -1 1 0] xr is found to perform a transformation, what are the coordinates of the transformed rectangle?

Answer 1

To find the coordinates of the transformed rectangle, multiply the given matrix with the transformation matrix and scalar, then represent the resulting matrix as the coordinates.

Step-by-step explanation:

The given matrix represents the coordinates of the vertices of a rectangle. To find the coordinates of the transformed rectangle, we need to perform the transformation described by the expression 3x[0 -1 1 0]xr.

First, we need to multiply the given matrix r with the matrix [0 -1 1 0]. Then, we multiply the resulting matrix with 3. The final matrix obtained will represent the coordinates of the transformed rectangle.

Performing the matrix multiplication and scalar multiplication, we get the coordinates of the transformed rectangle as [0 0 0 -18 -18 -18 -18 0].