Question

Let P be the plane given by 3x +4y +5z = 0, and let T :...

Let P be the plane given by 3x +4y +5z = 0, and let

T : R3 →R3 be projection onto P.

(a) Find range(T) and rank(T).

(b) Find null(T) and nullity(T).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the linear transformation P : R3 → R3 given by orthogonal projection onto the plane...
Consider the linear transformation P : R3 → R3 given by orthogonal projection onto the plane 3x − y − 2z = 0, using the dot product on R3 as inner product. Describe the eigenspaces and eigenvalues of P, giving specific reasons for your answers. (Hint: you do not need to find a matrix representing the transformation.)
Let W be the plane in R3 with equation 5x - 3y +z =0 Find the...
Let W be the plane in R3 with equation 5x - 3y +z =0 Find the standard matrix for the orthogonal projection onto W
solve for x(t) and y(t): x'=-3x+2y; y'=-3x+4y x(0)=0,y(0)=2
solve for x(t) and y(t): x'=-3x+2y; y'=-3x+4y x(0)=0,y(0)=2
(differential equations): solve for x(t) and y(t) 2x' + x - (5y' +4y)=0 3x'-2x-(4y'-y)=0 note: Prime...
(differential equations): solve for x(t) and y(t) 2x' + x - (5y' +4y)=0 3x'-2x-(4y'-y)=0 note: Prime denotes d/dt
a) Let T be the plane 3x-y-2z=9. Find the shortest distance d from the point P0...
a) Let T be the plane 3x-y-2z=9. Find the shortest distance d from the point P0 = (5, 2, 1) to T, and the point Q in T that is closest to P0. Use the square root symbol where needed. d= Q= ( , , ) b) Find all values of X so that the triangle with vertices A = (X, 4, 2), B = (3, 2, 0) and C = (2, 0 , -2) has area (5/2).
Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤...
Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤ 16 y ≥ 0 Attach image from graphing calculator or draw your own graph, if desired – must show feasible region and identify critical (corner) points to receive full credit!
Let P be the plane given by the equation 2x + y − 3z = 2....
Let P be the plane given by the equation 2x + y − 3z = 2. The point Q(1, 2, 3) is not on the plane P, the point R is on the plane P, and the line L1 through Q and R is orthogonal to the plane P. Let W be another point (1, 1, 3). Find parametric equations of the line L2 that passes through points W and R.
Let T(V)=AV be a linear transformation where A=(3 -2 6 -1 15, 4 3 8 10...
Let T(V)=AV be a linear transformation where A=(3 -2 6 -1 15, 4 3 8 10 -14, 2 -3 4 -4 20) a.) construct a basis of the kernal T b.) calculate the basis of the range of T c.) determine the rank and nullity of T
Let ?C be the vertically oriented helix with radius of 33 that starts at (3,0,0)(3,0,0) and...
Let ?C be the vertically oriented helix with radius of 33 that starts at (3,0,0)(3,0,0) and ends at (3,0,3)(3,0,3) after two revolutions on [0,1][0,1]. a) Find a vector-valued function ?⃗:[0,1]→ℝ3r→:[0,1]→R3 whose graph is ?C. Hint: The projection of ?C onto the ??xy-plane is the circle with radius 33 centred at (0,0,0)(0,0,0); the projection of ?C onto the ?z-axis is the line segment from (0,0,0)(0,0,0) to (0,0,3)(0,0,3). b) Compute the first derivative ?⃗˙r→˙ of ?⃗r→. c) Compute the length of ?.
Let X be a random proportion. Given X=p, let T be the number of tosses till...
Let X be a random proportion. Given X=p, let T be the number of tosses till a p-coin lands heads. a) Let P(X=1/10)=1/4, P(X=1/7)=1/4, and P(X=1/3)=1/2. Find E(T). b) Find E(T) if X has the beta(r,s) density for some r>1. Simplify all integrals and Gamma functions in your answer. c) Let X have the beta(r,s) density. For fixed k>0, find the posterior density of X given T=k. Identify it as one of the famous ones and state its name and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Suppose that the time (in hours) that Irene spends on an untimed final exam follows an...
    asked 13 minutes ago
  • The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal...
    asked 26 minutes ago
  • what type of graph is best suitable for data obtained from customer ratings. The ratings are...
    asked 29 minutes ago
  • Determine the cumulative 15-year 18 kip ESAL’s in the design lane for 2-lane highway for the...
    asked 37 minutes ago
  • Q: Dr.Grimace, the evil dentist, is trying to find out if his patients suffer from periodontal...
    asked 37 minutes ago
  • After collecting data on 19283 dogs, you find that male vallhunds have an average weight of...
    asked 39 minutes ago
  • Research Target Corporation and assess your satisfaction with the company you researched and make recommendations about...
    asked 40 minutes ago
  • Evidence suggests that 70% of FSU students like turtles. Suppose we randomly sampled 15 FSU students....
    asked 40 minutes ago
  • Ulrich challenges the appropriateness of the nearly universal symbolism of the spinning wheel as the marker...
    asked 41 minutes ago
  • Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
    asked 41 minutes ago
  • In your opinion, what are the three (3) most important benefits an employer can give to...
    asked 47 minutes ago
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 81 subjects were treated with...
    asked 49 minutes ago