Question

Hi. I have two questions about the linear algebra. 1. Prove that a linear transform always...

Hi. I have two questions about the linear algebra.

1. Prove that a linear transform always maps 0 to 0.

2. Suppose that S = {x, y, z} is a linearly dependent set. Prove that every vector v in the span of the set S can be expressed as a linear combination in more than one way.

Will thumb up for both answers. Thank you so much!

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
Write each vector as a linear combination of the vectors in S. (Use s1 and s2,...
Write each vector as a linear combination of the vectors in S. (Use s1 and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, −2), (2, −1, 1)} (a)    z = (−5, −5, 5) z = ? (b)    v = (−2, −6, 6) v = ? (c)    w = (−1, −17, 17) w = ? Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum...
Answer all of the questions true or false: 1. a) If one row in an echelon...
Answer all of the questions true or false: 1. a) If one row in an echelon form for an augmented matrix is [0 0 5 0 0] b) A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax=b has at least one solution. c) The solution set of b is the set of all vectors of the form u = + p + vh where vh is any solution...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary rivals? How will the acquisition of Reebok by Adidas impact the structure of the athletic shoe industry? Is this likely to be favorable or unfavorable for New Balance? 2- What issues does New Balance management need to address? 3-What recommendations would you make to New Balance Management? What does New Balance need to do to continue to be successful? Should management continue to invest...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT