Home
Class 12
MATHS
For any square matrix A with real number...

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

Text Solution

Verified by Experts

The correct Answer is:
`A - A'` is a skew symmetric matrix.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|8 Videos
  • MATRICES

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos
  • MATRICES

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos
  • LINEAR PROGRAMMING

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos
  • MOCK QUESTION PAPER - 1

    SUBHASH PUBLICATION|Exercise Part-E|4 Videos

Similar Questions

Explore conceptually related problems

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

If a matrix A is both symmetric and skew symmetric, then

If the matrix A is both symmetric and skew symmetric, then

For the matrix A=[(1,5),(6,7)] , verify that (i) (A+A') is a symmetric matrix (ii) (A-A') is a skew symmetric matrix

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

If A and B are square matrices of same order and B is a skew symmetric matrix, then A'BA is Skew symmetric matrix

Define a skew-symmetric matrix.

Let A and B be 3xx 3 matrices of real numbers, where A is symmetric and B skew symmetric and (A+B)(A-B)=(A-B)(A+B) . If (A B)^prime=(-1)^n A B then,