Home
Class 12
MATHS
Let Aa n dB be two nonsinular square mat...

Let `Aa n dB` be two nonsinular square matrices, `A^T a n dB^T` are the transpose matrices of `Aa n dB ,` respectively, then which of the following are correct? `(a)`. `B^T A B` is symmetric matrix `(b)`. if `A` is symmetric `B^T A B` is symmetric matrix `(c)`. if `B` is symmetric `B^T A B` is skew-symmetric matrix for every matrix `A` `(d)`.`B^T A B` is skew-symmetric matrix if `A` is skew-symmetric

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If A is skew-symmetric matrix then A^(2) is a symmetric matrix.

If A is skew-symmetric matrix, then trace of A is

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

If A is symmetric as well as skew-symmetric matrix, then A is

If A is symmetric as well as skew-symmetric matrix, then A is

If B is a skew-symmetric matrix, write whether the matrix A BA^T is symmetric or skew-symmetric.

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

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

......... Matrix is both symmetric and skew-symmetric matrix.

If B is a skew-symmetric matrix, write whether the matrix A B\ A^T is symmetric or skew-symmetric.