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 three transformations of the gray square have indicated effect.
The vertices of the gray square are:
, , , and .
in expansion matrix and in the shear matrix.
Multiplication of Matrices:
If is a matrix and is a matrix, then the product is the matrix whose is the inner product of the row of and column of .
The data matrix is given by
Plot the points on the graph and connect them by a line segment.
Multiply the matrix by appropriate transformation matrix.
Reflection in : Apply reflection transformation
The following matrix is obtained
Obtain the resulting graph by plotting the points and joining them by a line
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