Home
Class 12
MATHS
If C is skew-symmetric matrix of order n...

If `C` is skew-symmetric matrix of order `na n dXi snxx1` column matrix, then `X^T C X` is a. singular b. non-singular c. invertible d. non invertible

A

singular

B

non-singular

C

invertible

D

non-invertible

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Similar Questions

Explore conceptually related problems

If C is skew-symmetric matrix of order n and X is n xx1 column matrix,then X^(T)CX is a.singular b.non-singular c.invertible d. non invertible

h1.If C is skew-symmetric matrix of order n and X is n xx1 column matrix,then X'CX is a

If A is a skew symmetric matrix of order n and C is a column matrix of order nxx1 , then C^(T)AC is

If A is a singular matrix,then adj A is a. singular b.non singular c.symmetric d.not defined

If A is non-singular matrix of order, nxxn,

Show that every skew-symmetric matrix of odd order is singular.

If A is a skew symmetric matrix of order 3 , B is a 3xx1 column matrix and C=B^(T)AB , then which of the following is false?

If A is a non-singular matrix of order n, then A(adj A)=

If A is non-singular matrix of order 3 ,then the rank of A=