answersLogoWhite

0


Best Answer

(n^2-n)/2-1

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What will be dimension of vector space of all symmetric matrices of order n x n with real entries and trace zero?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What has the author F Brickell written?

F. Brickell has written: 'Matrices and vector spaces' -- subject(s): Matrices, Problems, exercises, Vector spaces


Is the set of stochastic matrices a vector space?

Nope


What has the author Robert M Thrall written?

Robert M. Thrall has written: 'Vector spaces and matrices' -- subject(s): Vector spaces, Matrices 'A generalisation of numerical utilities 1'


Which is the branch of mathematics that includes Matrices vector logic?

Linear Algebra


What is a zero vector?

A zero vector is a vector whose value in every dimension is zero.


What is zero vector?

A zero vector is a vector whose value in every dimension is zero.


What has the author Frederick Brickell written?

Frederick Brickell has written: 'Matrices and vector spaces'


What is augmented vector?

An augmented vector is a vector that is augmented with an extra dimension. This new dimension always takes on the value of 1. e.g. X = (5, 2) X' = (5, 2, 1) where X' is the augmented form of vector X.


What is exactly the fourth dimension in Space?

The Fourth dimension in Space is a real distance dimension r, completing the three vector displacement dimensions. Space is a quaternion with one real dimension and three vector dimensions, s= r + Ix + Jy + Kz, where I,J and K denote the vector dimensions. The real dimension r is related to time by r=ct where c is the speed of light. Einstein and Minkowski proposed in Relativity Theory a defective four dimension Space, where the fourth dimension is a vector Ict . This Space is essentially a two dimensional Space and does not exhibit the non-commuttive features of the quaternion Space.


Is hours a vector quantity?

No. The Universe is consists of a real dimension and three vector dimensions. The three spatial dimensions are vectors and the one real dimension r = ct includes t the time unit.


What type of matrix is a vector?

Vector matrix has both size and direction. There are different types of matrix namely the scalar matrix, the symmetric matrix, the square matrix and the column matrix.


Why do square matrices only have multiplicative inverses?

there are pseudo inverses for non-square matrices a square matrix has an inverse only if the original matrix has full rank which implies that no vector is annihilated by the matrix as a multiplicative operator