I'm studying Quadratic forms now and i have this theorem that i don't understand fully
it says :
for a quadratic form Q(x)= X'AX, there is an orthogonal matrix P wherefore Y=P'X:
X'AX=Y'DY=a1²y1²+...+ an²yn²
can anybody explain Y=P'X ? ( the accent is the transposed matrix mostly in english textbooks it is given by a T )

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yes it's a symmetric matrix so inverse is the transposed. that figured it out !! thank you :)

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