Question

(1 point) What is the matrix P=(Pij) for the projection of a vector b∈R3 onto the...

(1 point) What is the matrix P=(Pij) for the projection of a vector b∈R3 onto the subspace spanned by the vector a=

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.)
The projection of the vector (1,1,-1) onto the subspace span{(1,-1,1), (1,1,0)} is given by: a)(1,-1,0) b)(1,1,0)...
The projection of the vector (1,1,-1) onto the subspace span{(1,-1,1), (1,1,0)} is given by: a)(1,-1,0) b)(1,1,0) c) (-1/3, 1) d)(2, 4, -1) e)(2/3, 4/3, -1/3) f)None of the above
b) More generally, find the matrix of the linear transformation T : R3 → R3 which...
b) More generally, find the matrix of the linear transformation T : R3 → R3 which is u1  orthogonal projection onto the line spanu2. Find the matrix of T. Prove that u3 T ◦ T = T and prove that T is not invertible.
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1,...
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1, v2 and v3. u = (3, 4, 2, 4) ; v1 = (3, 2, 3, 0), v2 = (-8, 3, 6, 3), v3 = (6, 3, -8, 3) Let (x, y, z, w) denote the orthogonal projection of u onto the given subspace. Then, the components of the target orthogonal projection are
Find the orthogonal projection of v=[−2,10,−16,−19] onto the subspace W spanned by [-4,0,-2,1],[-4,-2,5,1],[3,-1,-3,4]
Find the orthogonal projection of v=[−2,10,−16,−19] onto the subspace W spanned by [-4,0,-2,1],[-4,-2,5,1],[3,-1,-3,4]
1. Find the orthogonal projection of the matrix [[3,2][4,5]] onto the space of diagonal 2x2 matrices...
1. Find the orthogonal projection of the matrix [[3,2][4,5]] onto the space of diagonal 2x2 matrices of the form lambda?I.   [[4.5,0][0,4.5]]  [[5.5,0][0,5.5]]  [[4,0][0,4]]  [[3.5,0][0,3.5]]  [[5,0][0,5]]  [[1.5,0][0,1.5]] 2. Find the orthogonal projection of the matrix [[2,1][2,6]] onto the space of symmetric 2x2 matrices of trace 0.   [[-1,3][3,1]]  [[1.5,1][1,-1.5]]  [[0,4][4,0]]  [[3,3.5][3.5,-3]]  [[0,1.5][1.5,0]]  [[-2,1.5][1.5,2]]  [[0.5,4.5][4.5,-0.5]]  [[-1,6][6,1]]  [[0,3.5][3.5,0]]  [[-1.5,3.5][3.5,1.5]] 3. Find the orthogonal projection of the matrix [[1,5][1,2]] onto the space of anti-symmetric 2x2 matrices.   [[0,-1] [1,0]]  [[0,2] [-2,0]]  [[0,-1.5] [1.5,0]]  [[0,2.5] [-2.5,0]]  [[0,0] [0,0]]  [[0,-0.5] [0.5,0]]  [[0,1] [-1,0]] [[0,1.5] [-1.5,0]]  [[0,-2.5] [2.5,0]]  [[0,0.5] [-0.5,0]] 4. Let p be the orthogonal projection of u=[40,-9,91]T onto the...
True or False If A is the matrix of a projection onto a line L in...
True or False If A is the matrix of a projection onto a line L in R 2 and the vector x in R 2 is not the zero vector, then the vector x − Ax is perpendicular to the vector x. If vectors u, v, x and y are vectors in R 7 such that u = 2v + 0x − 3y, then a basis for span(u, v, x, y) is {u, v, y}.
Find the orthogonal projection of v⃗ =⎢4,−11,−36,9⎤ onto the subspace W spanned by ⎢0,0,−5,−2| , |−4,2,5,−5⎢...
Find the orthogonal projection of v⃗ =⎢4,−11,−36,9⎤ onto the subspace W spanned by ⎢0,0,−5,−2| , |−4,2,5,−5⎢ , ⎢−5,−5,0,5|
Let W be the subspace of R4 spanned by the vectors a = 3e1 − 4e2...
Let W be the subspace of R4 spanned by the vectors a = 3e1 − 4e2 and b = e2 + e3 + e4. Find the orthogonal projection of the vector v = [2, 0, 1, 0] onto W. Then calculate the distance of the point v from the subspace W.
Show that projection of a line, from any finite point P, onto a parallel line is...
Show that projection of a line, from any finite point P, onto a parallel line is represented by a function of the from f(x) = ax+b.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT