Question

In: Advanced Math

Hi. I have two questions about the linear algebra. 1. Consider the following sets: (a) The...

Hi. I have two questions about the linear algebra.

1. Consider the following sets:

(a) The set f all diagonal 3*3 matrices

(b) The set of all vectors in R^4 whose entries sum to 0.

For the cases where the set is a vectors space, give the dimension and a basis

********************************************************

2. Let L be the set of all linear transforms from R^3 to R^2

(a) Verify that L is a vector space.

(b) Determine the dimension of L and give a basis for L.

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

Solutions

Expert Solution


Related Solutions

Linear Algebra Conceptual Questions • What are the possible sizes of solution sets for linear systems?...
Linear Algebra Conceptual Questions • What are the possible sizes of solution sets for linear systems? • List as many things that are equivalent to a square matrix being nonsingular as you can. • List as many things that are equivalent to a square matrix being singular as you can. (Should be basically the same as your list above except all opposites) • Give an example of a singular matrix that is NOT just the zero matrix. • If a...
Hi, I have some doubs about answers to following questions and I apprecite if someone could...
Hi, I have some doubs about answers to following questions and I apprecite if someone could help me with the answers: We want to investigate the following research problem: We have been developing a new learning and teaching application and want to know if this application is more efficient on a tablet or on a mobile phone. Efficiency is measured in the speed in which answers in the form of text are entered. i. Formulate the hypothesis H1 and the...
Linear algebra confusion: We haven't learned about rank and such: For the following I am looking...
Linear algebra confusion: We haven't learned about rank and such: For the following I am looking for examples or checking to see why something is impossible. a.) What does it mean when we have an inconsistent 2x3 linear system -What if we reversed it to 3x2? Even put other numbers in place. b.) Can a 2x3 linear system have a unique solution -What if we reversed it to 3x2? Even put other numbers in place. c.) Can a 3x2 linear...
I have to write report about Application of Linear Algebra in Electronic Engineering. Let me know...
I have to write report about Application of Linear Algebra in Electronic Engineering. Let me know about the examples simply and variously as possible as you can.
Hi, I have some questions about the concepts of energy in chemistry. #1 A particular chemical...
Hi, I have some questions about the concepts of energy in chemistry. #1 A particular chemical reaction has a negative deltaH and a negative deltaS. Which statement is correct? The answer: -The reaction becomes spontaneous as temperature decreases. Can someone please explain to me how this is true? #2 For the process O2(g)---> 2O(g), deltaH = +498kJ. What would be predicted for the sign of deltaS(rxn) and the conditions under which this reaction would be spontaneous? The answer: deltaS(rxn)=positive &...
LINEAR ALGEBRA Prove or disapprove (no counterexamples): Given that sets A = {u1....un} and B =...
LINEAR ALGEBRA Prove or disapprove (no counterexamples): Given that sets A = {u1....un} and B = {v1....vn} are subsets vectors of a vector space V. If the vectors in A and B, respectively, are independent and dim(Span(u1....un)) = dim(Span(v1....vn)) then Span(u1....un) = Span(v1....vn)
Can i please have a quick explanation on Markov Chain in linear algebra. Thanks
Can i please have a quick explanation on Markov Chain in linear algebra. Thanks
hi I have search on IKEA Company and I have to write about below information 1-...
hi I have search on IKEA Company and I have to write about below information 1- Describe the roles of directional,marketing, operations and human resource strategies in the overall well-being of your selected company?
Hi, I'm currenlty learning about Forex trading(CANADA). I have a couple of questions of they could...
Hi, I'm currenlty learning about Forex trading(CANADA). I have a couple of questions of they could be answered: 1.) What are the fee's involved with CFD's and FX markets. 2.) what are the costs of keeping a stock over night what the fee's would be on that.
Consider the general linear model ? = ?? + ?. Use matrix algebra to show that...
Consider the general linear model ? = ?? + ?. Use matrix algebra to show that ?̂ is an unbiased estimator of ?. the last ? has bar
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT