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# How to find the corresponding symmetric matrix ,classify the quadratic form and find new coordinates that makes the quodratic form diagonal for the...

How to find the corresponding symmetric matrix ,classify the quadratic form and find new coordinates that makes the quodratic form diagonal for the following two quadratic forms.

Q(x,y)=7x^2+12xy+12y^2

Q(x,y,z)= -5x^2-5y^2-5z^2+4xy+4xz+4yz