J]. and let A be any 2 x 2 matrix over R with det A =...

 

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J]. and let A be any 2 x 2 matrix over R with det A = 1. (a) Show that ATWA = w. (b) Use part (a), or otherwise, show that A-1 = w-¹ ATW. Let w = 0 (c) We define u* v uwv for any u, v in R2. Show that for all x, y € R², -y *x; and = = i). x * y ii). (Ax) * (Ay) = x * y. J]. and let A be any 2 x 2 matrix over R with det A = 1. (a) Show that ATWA = w. (b) Use part (a), or otherwise, show that A-1 = w-¹ ATW. Let w = 0 (c) We define u* v uwv for any u, v in R2. Show that for all x, y € R², -y *x; and = = i). x * y ii). (Ax) * (Ay) = x * y.

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a To show that AwA w we need to compute the product and simplify AwA A w A Since w 0 the product bec... View the full answer