LetA∈Rm×n,, x∈Rn, thenAxis a column vector inRm×1and(Ax)Tis arow vector inR1×m. Prove that(Ax)T=xTAT. Hint: to prove two vectorsare equal, it is enough to prove theith entry of the two vectors are equal forall legal indexi.

Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4