If A is a 3xx3 non -singular matrix such...

If A is a `3xx3` non -singular matrix such that `"AA"^(T)=A^(T)A "and" B=A^(-1)A^(T), "then" BB^(T)`=

A

B

C

`I_(3)`

D

`B^(T)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If A is a nonsingular matrix such that A A^(T)=A^(T)A and B=A^(-1) A^(T) , then matrix B is

If A is an 3xx3 non-singular matrix such that AA^'=""A^' A and B""=""A^(-1)A^' , then BB equals (1) I""+""B (2) I (3) B^(-1) (4) (B^(-1))^'

If A is a non-singular matrix then |A^(-1)| =

If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then" (A^(T))^(-1) =

If A is a non singular matrix such that A^(-1)=[[7,-2],[-3,1]] then (A^(T))^(-1) is :

If A and B are two non-singular matrices of order 3 such that A A^(T)=2I and A^(-1)=A^(T)-A . Adj. (2B^(-1)) , then det. (B) is equal to

If A is a 3xx4 matrix and B is a matrix such that both A^(T) B and BA^(T) are defined, what is the order of the matrix B?

If A is a square matrix and |A|=2, find the value of |"AA"|^(T) .