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If A and B are symmetric matrices of the same order, then ____________. -

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Question

If A and B are symmetric matrices of the same order, then ____________.

Options

  • A – B is a skew-symmetric matrix

  • AB + BA is a symmetric matrix

  • AB – BA is a symmetric matrix

  • AB is symmetric matrix

MCQ
Fill in the Blanks

Solution

If A and B are symmetric matrices of the same order, then AB + BA is a symmetric matrix.

Explanation:

AB + BA is always a symmetric matrix if A and B are symmetric matrices of the same order.

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