Homework Help Question & Answers

4. Find the 3 x 3 matrix that produces a rotation by 60° about the point...


4. Find the 3 x 3 matrix that produces a rotation by 60° about the point (-4,-6) using homogeneous coordinates. (You do not h
4. Find the 3 x 3 matrix that produces a rotation by 60° about the point (-4,-6) using homogeneous coordinates. (You do not have to multiply the matrices).
0 0
Add a comment
Answer #1

Rotation by 60 at 1-4,-6) is same a notation at 10,03460 and then tuas late to (-4-6). Thus the matuix. I cos 600 simbo sin 6

Add a comment
Know the answer?
Add Answer to:
4. Find the 3 x 3 matrix that produces a rotation by 60° about the point...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coin

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • object by 60° about the origin and abount point Aa Find the matrix that represents rotation...

    object by 60° about the origin and abount point Aa Find the matrix that represents rotation of an P(2,4). What are the new coorilinates of the point P(2,-4) after the rotation about origin and after the rotation about the point p(2,4) Write the homogeneous representation of a matrix that rotates a point about a point P(h, k) h. c. object by 60° about the origin and abount point Aa Find the matrix that represents rotation of an P(2,4). What are...

  • (4) (a) Determine the standard matrix A for the rotation r of R 3 around the z-axis through the a...

    (4) (a) Determine the standard matrix A for the rotation r of R 3 around the z-axis through the angle π/3 counterclockwise. Hint: Use the matrix for the rotation around the origin in R 2 for the xy-plane. (b) Consider the rotation s of R 3 around the line spanned by h 1 2 3 i through the angle π/3 counterclockwise. Find a basis of R 3 for which the matrix [s]B,B is equal to A from (a). (c) Give...

  • 5. Find the matrix (with EXACT values) that produces the rotation of 150° a) About the...

    5. Find the matrix (with EXACT values) that produces the rotation of 150° a) About the x-axis. b) About the y-axis. c) About the z-axis.

  • 1 point) Using homogeneous coordinates, the matrix A which rotates the point (-4,-5,-1) about the...

    1 point) Using homogeneous coordinates, the matrix A which rotates the point (-4,-5,-1) about the z-axis through an angle of counterclockwise as viewed fronm the positive z-axis and then shifts the result by-5 in the x-direction, 4 in the y-direction, and -2 in the z-direction, is given by The image of (-4,-5,-1) under this transformation is 0 , and Z = 1 point) Using homogeneous coordinates, the matrix A which rotates the point (-4,-5,-1) about the z-axis through an angle...

  • Problem: Given a rotation R of R3 about an arbitrary axis through a given angle find the matrix w...

    Problem: Given a rotation R of R3 about an arbitrary axis through a given angle find the matrix which represents R with respect to standard coordinates. Here are the details: The axis of rotation is the line L, spanned and oriented by the vector v (1,一1,-1) . Now rotate R3 about L through the angle t = 4 π according to the Right 3 Hand Rule Solution strategy: If we choose a right handed ordered ONB B- (a, b,r) for...

  • Let T : R2 → R2 be the linear transformation given by T(v) = Av that consists of a counterclockwise rotation about the origin through an angle of 30 2, Find the matrix that produces a countercloc...

    Let T : R2 → R2 be the linear transformation given by T(v) = Av that consists of a counterclockwise rotation about the origin through an angle of 30 2, Find the matrix that produces a counterclockwise rotation about the origin through an angle of 30°. Be sure to give the EXACT value of each entry in A. a. b. Plot the parallelogram whose vertices are given by the points A(0, 0), B(4, 0), C(5, 3), and D 1, 3)...

  • 15.2-1 -- Find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is (5,...

    15.2-1 -- Find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is (5, 10, 3, 12, 5, 50, 6). 5. -- Implement Matrix-ChainMultiply(A,s,i,j) using algorithm Matrix-Chain-Order and Matrix-Multiply, where Matrix-Multiply(X,Y, p,q,r) multiplies matrices X and Y, X and Y have pxq and qxr demension, respectively. Given a chain of 6 matrices whose dimensions are given in 15.2-1, and elements are random real numbers from -10 to 10, use Matrix-Chian-ultiply to calculate the product of these matrices.

  • (1 point) Using homogeneous coordinates, the matrix A which reflects the point (5,-4,-1) across t...

    (1 point) Using homogeneous coordinates, the matrix A which reflects the point (5,-4,-1) across the x- axis, shifts the result by 1 in the x-direction, -1 in the y-direction, and -1 in the z-direction, and then expands the y coordinate by a factor of 5 is given by A= The image of (5,-4,-1) under this transformation is , and Z = (1 point) Using homogeneous coordinates, the matrix A which reflects the point (5,-4,-1) across the x- axis, shifts the...

  • (a) Let T: R2 + R2 be counter clockwise rotation by 7/3, i.e. T(x) is the...

    (a) Let T: R2 + R2 be counter clockwise rotation by 7/3, i.e. T(x) is the vector obtained by rotating x counter clockwise by 7/3 around 0. Without computing any matrices, what would you expect det (T) to be? (Does T make areas larger or smaller?) Now check your answer by using the fact that the matrix for counter clockwise rotation by is cos(0) - sin(0)] A A= sin(0) cos(0) (b) Same question as (a), only this time let T...

  • 6a Perform a 60° rotation of point p(3, 5) (a) about the origin and (b) about P(2,2). b. Find the normalization tra...

    6a Perform a 60° rotation of point p(3, 5) (a) about the origin and (b) about P(2,2). b. Find the normalization transfgation that maps a and upper right corner is at (4,6) onto (a) a viewport that is the entire normalized device screen and (b) a viewport that has lower left corner at (0,0) and upper right corner (1/2,1/2). Clipping against rectangular windows whose sides are aligned with the x andy axes involves computing intersections with vertical and horizontal lines....

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT