Question

2. Find a basis for R 4 that contains the vectors X = (1, 0, 0,...

2. Find a basis for R 4 that contains the vectors X = (1, 0, 0, 1) and Y = (1, 1, 0, 1).

Note: I'm not looking for the orthogonal basis, im looking for a basis that contains those 2 vectors.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Do the vectors v1 =   1 2 3   , v2 = ...
Do the vectors v1 =   1 2 3   , v2 =   √ 3 √ 3 √ 3   , v3   √ 3 √ 5 √ 7   , v4 =   1 0 0   form a basis for R 3 ? Why or why not? (b) Let V ⊂ R 4 be the subspace spanned by the vectors a1 and a2, where a1 =   ...
Let W = {(x, y, z, w) ∈ R 4 | x − z = 0...
Let W = {(x, y, z, w) ∈ R 4 | x − z = 0 and y + 2z = 0} (a) Find a basis for W. (b) Apply the Gram-Schmidt algorithm to find an orthogonal basis for the subspace (2) U = Span{(1, 0, 1, 0),(1, 1, 0, 0),(0, 1, 0, 1)}.
#2. For the matrix A =   1 2 1 2 3 7 4 7...
#2. For the matrix A =   1 2 1 2 3 7 4 7 9   find the following. (a) The null space N (A) and a basis for N (A). (b) The range space R(AT ) and a basis for R(AT ) . #3. Consider the vectors −→x =   k − 6 2k 1   and −→y =   2k 3 4  . Find the number k such that the vectors...
(a) Do the vectors v1 = 1 2 3 , v2 = √ 3 √ 3...
(a) Do the vectors v1 = 1 2 3 , v2 = √ 3 √ 3 √ 3 , v3=√ 3 √ 5 √ 7, v4 = 1 0 0 form a basis for R 3 ? Why or why not? (b) Let V ⊂ R 4 be the subspace spanned by the vectors a1 and a2, where a1 = (1 0 −1 0) , a2 = 0 1 0 −1. Find a basis for the orthogonal complement V ⊥...
Find two unit vectors orthogonal to both 2, 4, 1 and −1, 1, 0 .
Find two unit vectors orthogonal to both 2, 4, 1 and −1, 1, 0 .
Determine whether the following set of vectors is a basis for M2(R): (−2 0 1 2)...
Determine whether the following set of vectors is a basis for M2(R): (−2 0 1 2) , ( 0 1 −1 1) , (−5 0 5 −4 ) , ( 3 −2 0 −1 ).
1) Find a basis for the column space of A= 2 -4 0 2 1 -1...
1) Find a basis for the column space of A= 2 -4 0 2 1 -1 2 1 2 3 1 -2 1 4 4 2) Are the following sets vector subspaces of R3? a) W = {(a,b,|a|) ∈ R3 | a,b ∈ R} b) V = {(x,y,z) ∈ R3 | x+y+z =0}
Here are some vectors in R 4 : u1 = [1 3 −1 1] u2 =...
Here are some vectors in R 4 : u1 = [1 3 −1 1] u2 = [1 4 −1 1] u3 = [1 0 −1 1] u4 = [2 −1 −2 2] u5 = [1 4 0 1] (a) Explain why these vectors cannot possibly be independent. (b) Form a matrix A whose columns are the ui’s and compute the rref(A). (c) Solve the homogeneous system Ax = 0 in parametric form and then in vector form. (Be sure the...
1. a) Find a value of x other than 0 such that the vectors <-3x, 2x>...
1. a) Find a value of x other than 0 such that the vectors <-3x, 2x> and <4, x> are perpendicular b) find the domain of the vector function r (t) = <sin (t), ln (t), 1 / (t-1)> c) Determine if the sequence converges or diverges, if it converges determines its limit ln (2 + e ^ n) / 2020n d) Find the point (a, b, c) where the line x = 1-t, y = t, z = 1...
a) Find a basis for W2 = {(x, y, z) ∈ R 3 : x +...
a) Find a basis for W2 = {(x, y, z) ∈ R 3 : x + y + z = 0} (over R). Justify your answer. What is the dimension of W2? b) Find a basis for W4 = {(x, y, z) ∈ R 3 : x = z, y = 0} (over R). Justify your answer. What is the dimension of W4?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT