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.

Cynthia takes her dog to the park every 2 days. she bathes her dog every 7 days. if she took her dog to the park and bathed him today, how long will it be until she does both on the same day again?

How many zeros does the function f(x)=4x3-x2+1 have

Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. the original photo was 800 pixels wide by 600 pixels high. the new photo will be 1,260 pixels wide. what will the new height be?