What is the Meaning of U^(\bot) in Linear Algebra?

MaxManus
Messages
268
Reaction score
1
What does
U^(\bot)
mean in linear Algebra?
 
Physics news on Phys.org
It's the set of all vectors that are orthogonal (or perpendicular) to U. It's usually read as "U perp."
 
Thanks
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Help with a Linear Algebra problem please
Replies
3
Views
1K
Orthogonal Projection Problems?
Replies
5
Views
1K
Introduction to Linear Algebra: Solving Real-World Problems
Replies
10
Views
2K
Proving statements about matrices | Linear Algebra
Replies
25
Views
3K
Finding a complementary subspace ##U## | Linear Algebra
Replies
4
Views
2K
Do these two statements imply an underlying induction proof?
Replies
7
Views
1K
Intro to Linear Algebra - Nullspace of Rank 1 Matrix
Replies
8
Views
2K
One set v is a linear combination of u. Prove u is linearly dependent
Replies
12
Views
2K
Given surjective ##T:V\to W##, find isomorphism ##T|_U## of U onto W.
Replies
1
Views
1K
I How do Tensors "work" in relation to linear algebraic objects?
Replies
7
Views
255

Hot Threads

Recent Insights

Back
Top