Home
Class 12
MATHS
For any square matrix A, show that AA' i...

For any square matrix A, show that AA' is symmetric.

Text Solution

Verified by Experts

The correct Answer is:
Thus (AA')'=AA'
Promotional Banner

Topper's Solved these Questions

  • SOLVED MODEL PAPER-4

    SRISIRI PUBLICATION|Exercise SECTION-B|7 Videos
  • SOLVED MODEL PAPER-4

    SRISIRI PUBLICATION|Exercise SECTION-C|8 Videos
  • SOLVED MODEL PAPER-3

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos
  • STRAIGHT LINES

    SRISIRI PUBLICATION|Exercise EXAMPLE|155 Videos

Similar Questions

Explore conceptually related problems

If A and B are symmetric matrices of the same order, then show that AB is symmetric if and only if A and B commute, that is AB = BA.

If A is a square matrix then "AA" is

If A, B are symmetric matrices of the same order then show that AB-BA is skew symmetric matrix.

If A is a square matrix then show that A+A^(T) and A A^(T) are symmetric and A-A^(T) is skew - symmetric.

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

Let A and B be two symmetric matrices of order 3. Statement: 1: A(BA) and (AB)A are symmetric matrices. Statement: AB is symmetric if matrix multiplication of A with B is commutative.

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.

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