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What is entry A in the matrix multiplication:. ( a) 1 (b) -2 (c) 5 (d) 11 (e) 13 (f) 0. What is entry D in the matrix multiplication:. ( a) 1 (b) -2 (c) 5 (d) 11 (e) 13 (f) 0. What is the first sentence of the proof? Assume (G, *) is a group.
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What is entry A in the matrix multiplication: (a) 1 (b) -2 (c) 5 (d) 11 (e) 13 (f) 0
What is entry D in the matrix multiplication: (a) 1 (b) -2 (c) 5 (d) 11 (e) 13 (f) 0
What is the first sentence of the proof? • Assume (G, *) is a group. • Assume the identity element is unique. • Assume (G *) is not a group. • Assume there are three identity elements.
What is the next sentence of the proof? • Assume (G, *) is not a group. • Assume the identity element is unique. • Assume x * e = x. • Assume e1 and e2 are identity elements.
What is the last sentence of the proof? • Therefore, (G, *) is a group. • Therefore, e1 = e2. • Therefore x * e1 = x. • Therefore, e1 * e2 = e.
What is the next sentence of the proof? • Assume (G, *) is not a group. • Assume the inverse is unique. • Assume x * x-1 = e. • Assume y1 and y2 are inverses of x.
What is the last sentence of the proof? • Therefore, (G, *) is a group. • Therefore, x has an inverse. • Therefore x * y1 = e. • Therefore, y1 = y2 .