Use the alphabet
Exercise 7: Suppose the alphabet consists of
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Elements Of Modern Algebra
- Let Z1 = 3 + i and Z2 = 5+2 i. Find 2 Z1 /(Z1 Z2) - (14/5)-2 i O (14/5)+2i O - (14/5) + (2/5) i O - (14/5)-(2/5) i Oarrow_forward- 4 5] + [3 4 5 0 Compute: 5arrow_forwardIn a certain shopping mall, restaurant charges areP125, P150, P200, P165, P175, P190, P230, and P180 for a regular dinner. Compute the following: a. Q2 b. Q3 c. Q4 d. D5 e. D7 f. P68 g. P88arrow_forward
- Z4×Z6 has an element of order 24. true or false ?arrow_forwardLet me N and set (-1)m max {2-(-1)", 3-(-1)m+¹} Am = 7+ m Bm 2 min {5-m(-1)+3, 7} R = {m EN: Bm -4m), V = {m EN: Bm = -8}, W = {m EN: Bm = 1}. (a) Give according to the values of m, expressions for Am and Bm not involving the max or min operators. (b) Give explicitly the sets R, V. and W.arrow_forwardAn experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen. Find E (X). Find SD(X). а. b.arrow_forward
- Suppose that the captain of a ship that is in distress must send a total of twelve different signals in succession. The twelve signals com- prise of 4 blue light signals (B1, B2, B3 and B4), 4 purple light signals (P1, P2, P3 and P4) and 4 red light signals (R1, R2, R3 and R4). He must send the signals one after another at 1 minute intervals. In how many different ways may the captain send the signals if signals of each of the same colour are to be sent consecutively? [Answer]arrow_forwardFind the multiplicative inverse of each given element. b. [7] in Z11 e. [17] in Z42 h. [9] in Z128arrow_forward2.24 An Affine-Hill Cipher is the following modification of a Hill Cipher: Let m be a positive integer, and define P = C = (Z26)". In this cryptosystem, a key K consists of a pair (L, b), where L is an m x m invertible matrix over Z26, and b € (Z26). For x = (x₁,...,xm) ≤ P and K = (L, b) ≤ K, we compute € y = ek (x) = (y₁ym) by means of the formula y = xL + b. Hence, ifarrow_forward
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