Find the orthogonal projection of vector v= [ 0 4 0 0] onto the subspace W of R^4 spanned by [-1 -1 1 -1],[1 -1 -1 -1], [1 1 1 -1]. What is projW(vector v)

Question

Find the orthogonal projection of vector v= [ 0 4 0 0] onto the subspace W of R^4 spanned by [-1 -1 1 -1],[1 -1 -1 -1], [1 1 1 -1]. What is projW(vector v)
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To find the orthogonal projection of a vector onto a subspace, we need to follow these steps:

  1. First, we need to find the basis of the subspace W. In this case, the basis is given by the vectors [-1 -1 1 -1], [1 -1 -1 -1], [1 1 1 -1].

  2. Next, we need to find the orthogonal projection of the vec Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Find the orthogonal projection of vector v= [ 0 4 0 0] onto the subspace W of R^4 spanned by [-1 -1 1 -1],[1 -1 -1 -1], [1 1 1 -1]. What is projW(vector v)

Find an orthonormal basis for the subspace U of M2,2(R) spanned by −1 0 1 1 ,  0 1 1 0 .

Prove that if W is a subspace of a finite dimensional vector space V, then dim(W) ≤ dim(V).

Show that W = {(x1, x2, x3, x4)|x4 − x3 = x2 − x1} is a subspace of R4, spanned by (1, 0, 0, −1), (0, 1, 0, 1) and (0, 0, 1, 1)

Find the basis and dimension of the subspace. W = {(x,y,z): x,y,z ER and 2x+y+3z = 0) of a real vector space R

1/3