Assignment #2

# Assignment #2 - A-1 = = A-1 = Proof We know that A x A-1 =...

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Proof: Page 209 # 16 (a) -17 mod 2 = +1 -9 (-9) * 2 = -18 2 -17 ((-9) * 2) + 1 = -17 Remainder of +1 1 Page 209 # 16 (b) 144 mod 7 = +4 20 20 * 7 = 140 7 144 (20 * 7) + 4 = 144 Remainder of +4 4 Page 209 # 16 (c) -101 mod 13 = +3 -8 (-8) * 13 = 104 13 -101 ((-8)*13) + 3 = -101 Remainder of +3 3 Page 209 # 16 (d) 199 mod 19 = +9 10 (10*19) + 9 = 199 10 * 19 = 190 19 199 Remainder of +9 9 Page 256 #20 (a) Find A -1 Given: A =

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Unformatted text preview: A -1 = = A -1 = Proof: We know that A x A-1 = X = = Page 256 # 20(b) Find A 3 Given: A = we know that A 3 = A 2 X A A 2 = = = A 3 = Page 256 # 20(c) Find (A-1 ) 3 Given: A = we know A -1 = (A -1 ) 2 = x = = (A -1 ) 3 = = Page 256 # 20(d) Use your answers to (b) and (c) to show that (A -1 ) 3 is the inverse of A 3 . We know that & (A —1 ) 3 (A 3 )-1 = = (A 3 )-1 = = (A -1 ) 3...
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## This note was uploaded on 03/11/2012 for the course LSDHFA 234 taught by Professor Sdaf during the Spring '12 term at UOIT.

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Assignment #2 - A-1 = = A-1 = Proof We know that A x A-1 =...

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