Home
Class 12
MATHS
If A is a symmetric matrix, write whethe...

If A is a symmetric matrix, write whether `A^T` is symmetric or skew-symmetric.

Text Solution

Verified by Experts

If A is a symmetric matrix,then, we know that `A^T=A`
thus w can say that `A^(-1)`is also a symmetric matix
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos

  • ALGEBRA OF MATRICES

    RD SHARMA|Exercise Solved Examples And Exercises|410 Videos

Similar Questions

Explore conceptually related problems

If A is a non-singular symmetric matrix, write whether A^(-1) is symmetric or skew-symmetric.

For any square matrix write whether AA^(T) is symmetric or skew-symmetric.

If A is a symmetric matrix and n in N, write whether A^(n) is symmetric or skew-symmetric or neither of these two.

If A is a symmetric matrix and n in N, write whether A^(n) is symmetric or skew-symmetric or neither of these two.

If B is a skew-symmetric matrix,write whether the matrix ABA^(T) is symmetric or skew-symmetric.

If B is a skew-symmetric matrix,write whether the matrix ABA^(T) is symmetric or skew-symmetric.

If B is a symmetric matrix,write whether the matrix ABA^(T) is symmetric or skew- symmetric.

If A is a skew-symmetric matrix and n is an even natural number,write whether A^(n) is symmetric or skew-symmetric matrix or neither of the two

If A is a skew-symmetric matrix and n is an odd natural numbr,write whether A^(n) is symmetric or skew-symmetric or neither of the two.

if B is skew symmetric matrix then find matrix ABA^(T) is symmetric or skew symmetric