Home
Class 12
MATHS
For any square matrix A,A A^(T) is a...

For any square matrix `A,A A^(T)` is a

A

Unit matrix

B

Symmetric matrix

C

Skew symmetric matrix

D

Diagonal matrix

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

For any square matrix A,(A-A') is :

Which one of the following is wrong? (A) The elements on the main diagonal of a symmetric matrix are all zero (B) The elements on the main diagonal of a skew - symmetric matrix are all zero (C) For any square matrix A,AA' is symmetric (D) For any square matrix A,(A+A')^(2)=A^(2)+(A')+2AA'

If A is any square matrix,then A+A^(T) is skew symmetric

Which one of the following is wrong? 1.The elements on the main diagonal of a symmetric matrix are all zero 2. The elements on the main diagonal of a skew-symmetric matrix are all zero 3. For any square matrix A,(1)/(2)(A+A') is symmetric 4. For any square matrix A,(1)/(2)(A-A') is skew-symmetric

If A is a square matrix, then A+A^(T) is

If A is an invertible square matrix,then A^(T) is also invertible and (A^(T))^(-1)=(A^(-1))^(T)

For any square matrix of order 2, if A (adj A) = [{:(8, 0),( 0,8):}], then the value of |A| is :

In a square matrix A, |A|=0, Then A is called

If A is square matrix, A+A^(T) is symmetric matrix, then A-A^(T) =