Question

linear algebra, projection Are all vectors the projection of some other vector into some line?

linear algebra, projection

Are all vectors the projection of some other vector into some line?
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Take a vector . Consider any other vector which is not orthogonal to . Consider the vector . Now, the projection of on a line parallel to a vector is . So is the projection of on a line parallel to .

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
Urgent! Write down the definition of what it means for one vector to be a linear...
Urgent! Write down the definition of what it means for one vector to be a linear combination of a collection of other vectors. Can a given vector v be written as a linear combination of vectors v1, v2, ...., vn in more than one way? Justify your answer. This is Linear Algebra
2. Calculate, from vectors A, B, C and D, the following: • The projection of vector...
2. Calculate, from vectors A, B, C and D, the following: • The projection of vector A on vector B • The area of the parallelogram that has the A and B vectors • The magnitude of the resulting vector of the AXB product • The CXD product and the direction of the resulting vector • Calculate the angle between vectors C and D • Calculate the magnitude (C · D) C • Find CXD · D A = -3i...
Topic: Math - Linear Algebra Focus: Matrices, Linear Independence and Linear Dependence Consider four vectors v1...
Topic: Math - Linear Algebra Focus: Matrices, Linear Independence and Linear Dependence Consider four vectors v1 = [1,1,1,1], v2 = [-1,0,1,2], v3 = [a,1,0,b], and v4 = [3,2,a+b,0], where a and b are parameters. Find all conditions on the values of a and b (if any) for which: 1. The number of linearly independent vectors in this collection is 1. 2. The number of linearly independent vectors in this collection is 2. 3. The number of linearly independent vectors in...
Determine if the first vector is a linear combination of the other two vectors. Show algebraically...
Determine if the first vector is a linear combination of the other two vectors. Show algebraically how you found your answer. 2x^2 + 2x + 1, -x^2 + 2x + 1, -2x^2 + 2x + 1 in P2 (P subscript 2) (R).
Linear Algebra Conceptual Questions • If a subset of a vector space is NOT a subspace,...
Linear Algebra Conceptual Questions • If a subset of a vector space is NOT a subspace, what are the four things that could go wrong? How could you check to see which of these four properties aren’t true for the subset? • Is it possible for two distinct eigenvectors to correspond to the same eigenvalue? • Is it possible for two distinct eigenvalues to correspond to the same eigenvector? • What is the minimum number of vectors required take to...
Linear Algebra: Given a nonzero vector x1 in X, show that there is a linear function...
Linear Algebra: Given a nonzero vector x1 in X, show that there is a linear function I such that l(x1) not equal to 0
Linear Algebra: Using the 10 Vector Space Axioms, prove that if u is a vector in...
Linear Algebra: Using the 10 Vector Space Axioms, prove that if u is a vector in vector space V, then 0u=0 State which Axiom applies to each step of the proof
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}.
Let the vectors a and b be in X = Span{x1,x2,x3}. Assume all vectors are in...
Let the vectors a and b be in X = Span{x1,x2,x3}. Assume all vectors are in R^n for some positive integer n. 1. Show that 2a - b is in X. Let x4 be a vector in Rn that is not contained in X. 2. Show b is a linear combination of x1,x2,x3,x4. Edit: I don't really know what you mean, "what does the question repersent." This is word for word a homework problem I have for linear algebra.
Linear Algebra What does it mean for vectors to span Rm? Please give a precise and...
Linear Algebra What does it mean for vectors to span Rm? Please give a precise and complete definition. Thank you!
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT