Home
Class 12
MATHS
[" Prove that for any square matrix "A" ...

[" Prove that for any square matrix "A" with real "],[" elements,"A+A'" is a symmetric matrix and "],[A-A'" is a skew symmetric matrix.[NCERT| "]

Promotional Banner

Similar Questions

Explore conceptually related problems

For any square matrix A with real number entries.Prove that A+A^' is a symmetric matrix and A-A^' is a skew symmetric matrix.

If A is a square matrix then '(A-A') is a skew-symmetric matrix.

For any square matrix A with real numbers, prove that A + A' is a symmetric and A - A' is a skew symmetric.

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

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

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

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

For any square matrix A with real numbers. Prove that A+A^(1) is a symmetric and A-A^(1) is a skew symmetric.

Let A be a square matrix. Then prove that (i) A + A^T is a symmetric matrix and, (ii) A -A^T is a skew-symmetric matrix

A is a symmetric matrix or skew symmetric matrix. Then A^(2) is