If A is a $3\times 3$-matrix, while x and y are a vector point with x,y,z. Why is the dot product of $\u27e8{A}^{\ast}x,y\u27e9$ the same as the dot product of $\u27e8{A}^{\prime \ast}y,x\u27e9$

(A′ being the transposed matrix)

(A′ being the transposed matrix)