Linear Algebra : Norms
For any x=(x1,....,xn), let us try to define a norm two ways. Consider
(a) X1=summation Xi from i=1 to n
(b) Xb=summation xixj from i,j=1 to n
Does either one of these formulas define a norm? If yes, show that all three axioms of norm hold. If no, demonstrate which axiom fails.
Â© BrainMass Inc. brainmass.com June 7, 2023, 2:27 pm ad1c9bdddfhttps://brainmass.com/math/linearalgebra/linearalgebranorms11651
Solution Preview
Please see the attached file for the full solution.
Thanks ...
Solution Summary
Summations are investigated as to whether they define norms. The solution is detailed and well presented. The formulas to define a norm are given.
Free BrainMass Quizzes

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

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

Some questions on probability

Geometry  Real Life Application Problems
Understanding of how geometry applies to in realworld contexts

Each question is a choicesummary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.