Let J, = {0,1,2, 3, 4, 5, 6}, and define G : J7 × J7 → J7 x J7 as follows. For each (a, b) E J7 × J7, G(a, b) = ((-3a + 56) mod 7, (4b – 6a) mod 7) Compute the following quantities: 1. G(2,2) 2. G(4,5) 3. G(6, 2) 4. G(3, 3) 5. G(1,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let J, = {0, 1, 2, 3, 4, 5, 6}, and define G : J7 x J7 → J; × J7 as follows. For
each (a, b) E J7 x J7, G(a, b) = ((-3a + 56) mod 7, (4b – 6a) mod 7) Compute
the following quantities:
1. G(2, 2)
2. G(4,5)
3. G(6,2)
4. G(3,3)
5. G(1,0).
Transcribed Image Text:Let J, = {0, 1, 2, 3, 4, 5, 6}, and define G : J7 x J7 → J; × J7 as follows. For each (a, b) E J7 x J7, G(a, b) = ((-3a + 56) mod 7, (4b – 6a) mod 7) Compute the following quantities: 1. G(2, 2) 2. G(4,5) 3. G(6,2) 4. G(3,3) 5. G(1,0).
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