LINEAR ALGEBRA

HOW TO PROVE ALL THAT 2*2 SYMMETRIC MATRICES FORM A SUB SPACE OVER THE FIELD R*R.
WAITING FOR YOUR QUICK RESPONSE
YOGESH PRATAP SINGH

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symmetric matrix

As $ A\in Sym(R,2) $ if and only if $ A=A^t  $ you have to prove $ (aA+bB)^t=aA^t+bB^t=aA+bB $

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