Experiment 2
Answers
- A shear matrix shifts every vector in the direction of a certain straight line by an amount proportional to the distance of the vector from that straight line. Here, the straight line is the x-axis, and the distance is the y-coordinate.
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- A stretch matrix dilates a figure by a factor of 'a' in one direction and a factor of '1/a' in the perpendicular direction.
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- If we use the 90 degree rotation matrix and the x-axis projection given by the 'Predefined Matrices', matrix RP has the form:
RP =
The matrix PR, on the other hand, has the form:
PR =
These two matrices produce obviously different results, as can be observed using the Matrix Explorer applet.
- Show that each of the 'Predefined Matrices' satisfies the three requirements.
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