hi i just wanted a quick explanation of what a symmetric matrix is and what they mean by the quadratic form by the standard basis?
for example why is this a symmetric matrix
and what is the quadratic form of the matrix by the standard basis?
also how would i go about figuring out the quadratic form corresponding to the matrix by the standard basis for
[ 0 1 1]
[ 1 3 5]
[ 1 5 0]