The following is given for $ ∂x^TAx/∂x $ in a book on Matrix Algebra:

What I cannot understand is: Where does $A^T$ come from in the second row (in the term $ ty^TA^Tx $)?
The following is given for $ ∂x^TAx/∂x $ in a book on Matrix Algebra:

What I cannot understand is: Where does $A^T$ come from in the second row (in the term $ ty^TA^Tx $)?
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Since $a=a^T$ for a scalar value $a$, $$tx^TAy=t(x^TAy)^T=ty^TA^Tx$$