Matrix multiplication can be used to describe the geometric transformation of sh
ID: 3209800 • Letter: M
Question
Matrix multiplication can be used to describe the geometric transformation of shapes; such mathematical descriptions are frequently used in computer graphics. Consider the unit square shown below: Each point in this square can be viewed as the tip of its position vector (ie. the point (1,1) is described by the position vector u). Left multiplying any position vector by a transformation matrix, T, produces a new position vector which describes a transformed point (ie. under the transformationT, the vector defined above becomes u'-Tu). For this problem, consider the transformation defined by: 7-1 0-10 0 0 1 What happens to the unit square under this transformation? (Hint: Write down the position vectors describing each of the four corners, apply the transformation, then sketch the shape defined by the four transformed corner points).Explanation / Answer
As we observe,in given transformation matrix sign of second row changes to negative and sign of first row remains as it is positive.
So,in this case they have transformed the unit square into 4th quadrant,so it will be reflection about x-axis.
So option A is correct.