Question

Let (u,v,w,t) be a linearly independent list of vectors in R4. Determine if (u, v-u, w+5v,...

Let (u,v,w,t) be a linearly independent list of vectors in R4. Determine if (u, v-u, w+5v, t) is a linearly independent list. Explain your reasoning and Show work.

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
Let u, vand w be linearly dependent vectors in a vector space V. Prove that for...
Let u, vand w be linearly dependent vectors in a vector space V. Prove that for any vector z in V whatsoever, the vectors u, v, w and z are linearly dependent.
Prove that the span of three linearly independent vectors, u, v, w is R3
Prove that the span of three linearly independent vectors, u, v, w is R3
Let T be a linear transformation that is one-to-one, and u, v be two vectors that...
Let T be a linear transformation that is one-to-one, and u, v be two vectors that are linearly independent. Is it true that the image vectors T(u), T(v) are linearly independent? Explain why or why not.
Let S={u,v,w}S={u,v,w} be a linearly independent set in a vector space V. Prove that the set...
Let S={u,v,w}S={u,v,w} be a linearly independent set in a vector space V. Prove that the set S′={3u−w,v+w,−2w}S′={3u−w,v+w,−2w} is also a linearly independent set in V.
vectors u=(1,2,3), v=(2,5,7), w=(1,3,5) are linearly dependent or independent? (using echelon form)
vectors u=(1,2,3), v=(2,5,7), w=(1,3,5) are linearly dependent or independent? (using echelon form)
Let T be a 1-1 linear transformation from a vector space V to a vector space...
Let T be a 1-1 linear transformation from a vector space V to a vector space W. If the vectors u, v and w are linearly independent in V, prove that T(u), T(v), T(w) are linearly independent in W
3-vectors u, v, and w satisfy u⋅(v ×w)=7. Find [u,v,w]⋅[v×w, u×w,u×v]^T using properties of the triple...
3-vectors u, v, and w satisfy u⋅(v ×w)=7. Find [u,v,w]⋅[v×w, u×w,u×v]^T using properties of the triple scalar product.
determine the span of u=(1,2,0) v=(3,2,-1) w=(-2,0,1) and determine if u,v, and w are linearly dependent.
determine the span of u=(1,2,0) v=(3,2,-1) w=(-2,0,1) and determine if u,v, and w are linearly dependent.
Let u, v, and w be vectors in Rn. Determine which of the following statements are...
Let u, v, and w be vectors in Rn. Determine which of the following statements are always true. (i) If ||u|| = 4, ||v|| = 5, and ?||u + v|| = 8, then u?·?v = 4. (ii) If ||u|| = 2 and ||v|| = 3, ?then |u?·?v| ? 5. (iii) The expression (v?·?w)u is both meaningful and defined. (A) (ii) and (iii) only (B) (ii) only (C) none of them (D) all of them (E) (i) only (F) (i) and...
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.