$Any matrix can be represented as a sum of a symmetric matrix and a skew symmetric matrix$

False

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True

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Solution

The correct option is B True

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A

⎡ ⎢ ⎣ \begin{matrix} 6 & - 4 & 5 1 & 4 & - 2 7 & 5 & 9 \end{matrix} ⎤ ⎥ ⎦

⎡ ⎢ ⎣ \begin{matrix} 1 & - 2 & 3 3 & 4 & 5 5 & 7 & 9 \end{matrix} ⎤ ⎥ ⎦

A = ⎡ ⎢ ⎣ \begin{matrix} 4 & 2 & - 1 3 & 5 & 7 1 & - 2 & 1 \end{matrix} ⎤ ⎥ ⎦

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