Consider the following statements in respect of symmetric matrices A and B
1. AB is symmetric.
2. `A^(2) + B^(2)` is symmetric.
Which of the above statement(s) is/are correct ?

Consider the following statements in respect of symmetric matrices A and B. I. AB is symmetric II. A^(2)+B^(2) is symmetric Which of the above statements is/are correct ?

Consider the following statements in respect of a square matrix A and its transpose A^(T) . 1. A + A^(T) is always symmetric. 2. A-A^(T) is always anti-symmetric Which of the statements given above is/are correct ?

Consider the following statements in respect of a square matrix A and its transpose A^(T) . I. A+A^(T) is always symmetric II. A-A^(T) is always anti-symmetric Which of the statements given above is/are correct ?

If A and B are two symmetric matrices then AB + BA is

If A and B are symmetric matrices, then A B A is

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

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

Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] 1. The matrix A is skew-symmetric. 2. The matrix A is symmetric. 3. The matrix A is invertible. Which of the above statements is/are correct ?

Suppose A and B are two symmetric matrices. If AB is symmetric, prove that AB =BA

If A and B are symmetric matrices of the same order, show that AB+BA is symmetric.