3. Let L = Z/2z(a), where a¹ + a +1 = 0. In each item below, an elementy € Lis given. Find a, b, c and d in 2/2z such that y = a + ba+ca² + da³. a.y = ¹. b. y=a³. C. y = a ¹5. d. 7 = ²+a+l'

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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3. Let L = Z/2z(a), where a¹ + a + 1 = 0. In each item below, an element y € Lis
given. Find a, b, c and d in 2/2z such that y = a + ba + ca² + da³.
a.y = ¹.
b. y=a³.
C. 7 = a ¹5.
1
d. 7 = ²+a+1°
Transcribed Image Text:3. Let L = Z/2z(a), where a¹ + a + 1 = 0. In each item below, an element y € Lis given. Find a, b, c and d in 2/2z such that y = a + ba + ca² + da³. a.y = ¹. b. y=a³. C. 7 = a ¹5. 1 d. 7 = ²+a+1°
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