In the Bilinear Transformation mapping, which of the following are correct?Select one:a. All points in the RHP of s are mapped outside the unit circle in the z-planeb. All points in the LHP of s are mapped inside the unit circle in the z-planec. None of the mentionedd. Both a & b

Which of the following is/are true? (A) Every linear transformation from R 2 to R 2 maps lines onto points or lines (B) Every surjective linear transformation from R 2 to R 2 maps lines onto lines (C) Every bijective linear transformation from R 2 to R 2 maps pairs of parallel lines to pairs of parallel lines (D) Every bijective linear transformation from R 2 to R 2 maps pairs of perpendicular lines to pairs of perpendicular lines

Which of the following transformations will result in an image that maps onto itself?A.Rotate 360 degrees about the origin.B.Rotate 270 degrees counterclockwise about the origin, and the reflect it across the x-axis.C.Reflect across the y-axis, and then reflect across the x-axis.D.Rotate 90 degrees counterclockwise about the origin, and then rotate 180 degrees.

Which ones of the following linear transformations are NOT invertible? (Choose one or more)Question 12Select one or more:a.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into a point (0,0)(0,0).b.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into a square with vertices (0,0)(0,0), (2,0)(2,0), (1,1)(1,1), and (1,−1)(1,−1).c.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into a rectangle with vertices (0,0)(0,0), (2,0)(2,0), (0,5)(0,5), and (2,5)(2,5).d.A𝐴 transforms the unit square [0,1]×[0,1][0,1]×[0,1] into the line segment from (0,0)(0,0) to (1,3)(1,3).

(c) Determine the concatenated transformation matrix for translation by vector [1 1] followed by rotation of 45 degrees in 2D square matrix of points given [-1,-1] [1,1] [1,-1] [-1,1]

In transformations, the ________ symbol (′)shows the corresponding transformed point.