Purchase Solution

u1 = (1,2,3), u2 = (0,1,2), u3 = (2,0,1) generate R3(R).

Not what you're looking for?

Ask Custom Question

Vector Space and Subspaces
Euclidian 3-space

Problem:- Show that the vectors u1 = (1,2,3), u2 = (0,1,2), u3 = (2,0,1) generate R3(R).

Purchase this Solution

Solution Summary

This solution is comprised of a detailed explanation for finding the vector space and subspaces. It contains a step-by-step explanation to show that the vectors u1 = (1,2,3), u2 = (0,1,2), u3 = (2,0,1) generate R3(R).

Solution Preview

Please see the attached file. Thanks for using BrainMass.com.


Vector Space and Subspaces

Problem:- Show that the vectors
u1 = (1,2,3), u2 = (0,1,2), u3 = (2,0,1)
generate R3(R).

Solution:-Here R3(R) is a vector space called Euclidian 3-space.

Let (a,b,c) Є R3 be an arbitrary vector .
If (a,b,c) Є R3 is a linear combination of the vectors
u1 = ...

Solution provided by:
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution

Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.