The matrix product AX performs a translation on the point (x, y), where

(a) Predict the new location of the point (x, y) when it is translated by A. Compute Y = AX to verify your prediction. 

(b) Make a conjecture as to what A^-1Y represents. Find A^-1 and calculate A^-1Y to test your conjecture. 

(c) What will AA^-1 and A^-1A equal?

Transcribed Image Text:

10h A = 0 1 k 001 X X = y and X