Here is a data matrix for a line drawing:
(a) Draw the image represented by .
(b) Let . Calculate the matrix product , and draw the image represented by this product. What is the effect of the transformation ?
(c) Express as a product of a shear matrix and a reflection matrix. (See Problem 2.)
Verify that multiplication by the given matrix has the indicated effect when applied to the gray square in the table. Use in the expansion matrix and in the shear matrix.
Expansion (or contraction) in
The image represented by matrix.
The data matrix is
Plot the points on the graph and join them by a line segment
The matrix product and the effect of transformation .
is a product of shear matrix and a reflection matrix.
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