What is the image of (-6,-4) after a reflection over the line y = x?
in a reflection the image of the line y-2x=3 is the line 2y-x=9.find the axis of reflection.
Let T: R2 R2 be a reflection in the line y = -x. Find the image of each vector. (-3,5) (b) (7.-1) (c) (-a, 0) (d) (0, b) (e) (e, -d) (f) (9)
6 5.) (10 points) (a) Suppose TỈ : R2 → R2 s a reflection in the line y = z. what is A, the standard matrix of T1? (b) Suppose T : R2R is the counterclockwise rotation by 8 J. What is A2, the standard matrix of T2? (c) What is the image of (2,-4) under T- Ti o T2? 6 5.) (10 points) (a) Suppose TỈ : R2 → R2 s a reflection in the line y = z....
linear algebra Let T: R2 R2 be a reflection in the line y = -x. Find the image of each vector. (a) (-3,9) (b) (5, -1) (c) (a,0) (d) (o, b) (e) ( ed) (f) (9)
Enter an ordered pair (x, y) including the parentheses. A reflection in the line x = 0 transforms the coordinates (x, y) onto A/
8. 4 marks] (a) Suppose that a is the reflection across the line z y +2-0 and β is the reflection ac oss the line y = 2. i. Show that the compositions a(β(z)) and β(a(z)) have a common fixed point in the intersection of two lines. Find this point. ii. Find complex numbers a, b, c, and d for which a(z) = a5+b and β(z) =cz+d. iii. Classify the compositions a(β(z)) and β(a(z)). (b) Let z = 21 and...
The tranformation matrix for a reflection in the line y=x is and the transformation matrixfor areflection in the line y=-x is.What is the transformation matrix for a reflection in the liney=-5/2x
Consider the following. Tis the reflection through the origin in R2: T(x, y) = (-x, -y), v = (2,5). (a) Find the standard matrix A for the linear transformation T. A= 1 (b) Use A to find the image of the vector v. T(v) = (c) Sketch the graph of v and its image. у 6 у 6 V 5: 5 41 4 3 3 T(v) 2 2 11 1 X 1 -6 -5 -4 -3 -2 -1 -A 2...
1. Let T: R2 – R? be the map "reflection in the line y = x"—you may assume this T is linear, let Eº be the standard basis of R2 and let B be the basis given by B = a) On the graph below, draw a line (colored if possible) joining each of the points each of the points (-). (). (1) and () woits image to its image under the map T. y = x b) Find the...
Consider the following. T is the reflection through the origin in R2: T(x, y) = (-x, -y), v = (2,5). (a) Find the standard matrix A for the linear transformation T. A= (b) Use A to find the image of the vector v. T(V) =