Home
Class 12
MATHS
If B is a real m X n matrix, show that B...

If `B` is a real `m X n` matrix, show that `B^TB` as well as `BB^T`is a symmetric matrix.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

For, a 3xx3 skew-symmetric matrix A, show that adj A is a symmetric matrix.

A matrix which is both symmetric as well as skew-symmetric is a null matrix.

A matrix which is both symmetric as well as skew-symmetric is a null matrix.

A matrix which is both symmetric as well as skew-symmetric is

If A and B are symmetric matrices, prove that AB BA is a skew symmetric matrix.

If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix.

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

If A=[[3,-4], [1,-1]] , show that A-A^T is a 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