Question

Explain why and how can we use determinants to determine if a set of vectors are...

Explain why and how can we use determinants to determine if a set of vectors are linearly independent or dependent.

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
Determine whether the given set of vectors is linearly dependent or independent. ?? = [5 1...
Determine whether the given set of vectors is linearly dependent or independent. ?? = [5 1 2 1], ?? = [−1 1 2 − 1], ?? = [7 2 4 1]
1) Let S={v_1, ..., v_p} be a linearly dependent set of vectors in R^n. Explain why...
1) Let S={v_1, ..., v_p} be a linearly dependent set of vectors in R^n. Explain why it is the case that if v_1=0, then v_1 is a trivial combination of the other vectors in S. 2) Let S={(0,1,2),(8,8,16),(1,1,2)} be a set of column vectors in R^3. This set is linearly dependent. Label each vector in S with one of v_1, v_2, v_3 and find constants, c_1, c_2, c_3 such that c_1v_1+ c_2v_2+ c_3v_3=0. Further, identify the value j and v_j...
Prove that if a subset of a set of vectors is linearly dependent, then the entire...
Prove that if a subset of a set of vectors is linearly dependent, then the entire set is linearly dependent.
if {Av1,Av2,..., Avk} is linearly dependent set of vectors in Rn and A is an nxn...
if {Av1,Av2,..., Avk} is linearly dependent set of vectors in Rn and A is an nxn invertible matrix, the {v1,v2,...vk} is also a linearly dependent set of vectors in Rn
Problem 6.4 What does it mean to say that a set of vectors {v1, v2, ....
Problem 6.4 What does it mean to say that a set of vectors {v1, v2, . . . , vn} is linearly dependent? Given the following vectors show that {v1, v2, v3, v4} is linearly dependent. Is it possible to express v4 as a linear combination of the other vectors? If so, do this. If not, explain why not. What about the vector v3? Anthony, Martin. Linear Algebra: Concepts and Methods (p. 206). Cambridge University Press. Kindle Edition.
Give an counter example or explain why those are false a) every linearly independent subset of...
Give an counter example or explain why those are false a) every linearly independent subset of a vector space V is a basis for V b) If S is a finite set of vectors of a vector space V and v ⊄span{S}, then S U{v} is linearly independent c) Given two sets of vectors S1 and S2, if span(S1) =Span(S2), then S1=S2 d) Every linearly dependent set contains the zero vector
Let S={v1,...,Vn} be a linearly dependent set. Use the definition of linear independent / dependent to...
Let S={v1,...,Vn} be a linearly dependent set. Use the definition of linear independent / dependent to show that one vector in S can be expressed as a linear combination of other vectors in S. Please show all work.
Explain in DETAIL: how and why we can use DCPIP to study the light-dependent reactions of...
Explain in DETAIL: how and why we can use DCPIP to study the light-dependent reactions of photosynthesis.
(a) Consider x^2 + 7x + 15 = f(x) and e^x = g(x) which are vectors...
(a) Consider x^2 + 7x + 15 = f(x) and e^x = g(x) which are vectors of F(R, R) with the usual addition and scalar multiplication. Are these functions linearly independent? (b) Let S be a finite set of linearly independent vectors {u1, u2, · · · , un} over the field Z2. How many vectors are in Span(S)? (c) Is it possible to find three linearly dependent vectors in R^3 such that any two of the three are not...
Find a linearly independent set of vectors that spans the same subspace of R3 as that...
Find a linearly independent set of vectors that spans the same subspace of R3 as that spanned by the vectors [-3,1,3] , [-6,5,5],[0,-3,1] Linearly independent set: [x,y,z] , [x,y,z]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT