Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
if \( a\) and \( b\) are two vectors in linear vector space, prove CauchySwartz inequality \( a.b \geq a.b\)
 one year ago
 one year ago
if \( a\) and \( b\) are two vectors in linear vector space, prove CauchySwartz inequality \( a.b \geq a.b\)
 one year ago
 one year ago

This Question is Closed

phiBest ResponseYou've already chosen the best response.2
I have seen a proof that udw:1346599918682:dwses the idea that a quadratic y= a x^2 + bx +c is always positive for all values of x if its discriminate is negative: this means complex roots
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
I'm particularly looking for something to write in exam
 one year ago

phiBest ResponseYou've already chosen the best response.2
use this idea with  a + x b^2 where a and b are vectors and x is a scalar this must always be positive for all values of x
 one year ago

phiBest ResponseYou've already chosen the best response.2
write the magnitude squared as a dot product  a + x b^2 ≥0 \[a^2 + 2(a \cdot b) x + b^2 x^2 ≥ 0\] as noted above, the discriminate of this quadratic in x must be negative to guarantee all values ≥ 0 for all x: \[ 4 (a \cdot b)^2 4 a^2 b^2 ≤ 0 \]
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
how do you generalize it to n space?
 one year ago

phiBest ResponseYou've already chosen the best response.2
The vectors a and b are in n space.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.