Let T be an orthogonal operator on ℝ2 and let A be its matrix representation with respect to the standard ordered basis of ℝ2. Which one of the following statements is incorrect?ans.T is either rotation or reflection on ℝ2A is an orthogonal matrixdet(A)=± 1T is a translation from ℝ2 to ℝ2 Previous Marked for Review Next

Let T be an orthogonal operator on ℝ2 and let A be its matrix representation with respect to the standard ordered basis of ℝ2. Which one of the following st

What does it mean for a matrix to be orthogonal?a.Its transpose is equal to its inverse.b.Its determinant is zero.c.It is equal to its negative.d.It has no inverse.

(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]

Determine which of the matrices in Exercises 7–12 are orthogonal.If orthogonal, find the inverse.7. 1=p2 1=p21=p2 1=p2

If . Determine if T is projection on a line, reflection in a line, or rotation through an angle, and find the line or angle.Select one:a. T is a projection on a line b. T is a reflection in a line y=3xc. None of the other choices is trued. T is a projection on a line y= -2xe. T is a reflection in a line y= -2x