1
Q
A
The set of all NxN matrices with elements in R ( or C respectively)
2
Q
Self adjoint matrix
A
3
Q
Unitary matrix
A
4
Q
Levi Civita in 2 dimensions
A
(N=2)
5
Q
Levi civita in 3D
A
6
Q
A
7
Q
Define a general linear group and prove the axioms of a group
A
8
Q
Prove
A
9
Q
Special Linear group
A
10
Q
Prove that SL(N, C) is a normal sub group of GL(N, C)
A
11
Q
Prove
A
12
Q
Prove
A
13
Q
Prove
A
14
Q
Define unitary group and show group axioms
A
15
Q
Prove
A
16
Q
Special unitary group
A
17
Q
Define orthogonal group , show group axioms
A
18
Q
Define special orthonormal group
A
19
Q
Prove
A
20
Q
Dimensions of
GL(N, R)
SL(N, R)
SO(N)
A
