all parts 3. (a) Find a basis for (Q(75) over Q. (b) Find a basis for...
Let KQi, 2 (a) Show that K is a splitting field of X4- 2 over Q. (b) Find a Q-basis of K c) Find an automorphism of order four of K over i (d) Determine all the automorphisms of K over Q (e) The zeros of X4-2 form -(±Vitiy2). Describe the action of the set S Aut(K) on S (f) Find all subgroups of Aut (KQ). (g) Find all intermediate field extensions of C K.
Let KQi, 2 (a) Show...
Find the degree of the extension Q(V3+2V2) over Q.
(1) Prove that QV2+3) Q(V2, V3) (2) Prove that (Q(V2, v3):Q) 4 (3) Find the minimal polynomial of V2 + V/3 overQ.
Recall V = 0 (V3.13) and consider this as a vector space over F = Q(v2) Show that 1, V3 is a basis.
ons 10. Rationalize each denominator. Simplify. 5 2 – 73 b) na os 75'EVE a) V3 + V13 V3 - V13
QUESTION 3 Answer ALL parts. [Marks: (a) 50% (b) 25% (c) 2596] Q 3(a) i Using the Nernst equation, explain why a silver/silver chloride electrode can function as either a chloride, Cr, potentiometric sensor (lon Selective Electrode, ISE) OR as a reference electrode. i) Draw a labelled diagram of an electrochemical cell where the silver/silver chloride electrode acts as an lon Selective Electrode Q 3(b) A potential of 0.37 V was observed when a chloride, Cl, lon Selective Electrode was...
3) Find the coefficient of variation for each of the two data sets. Then compare the results. Ages and Heights The ages (in years) and heights (in inches) of all pitchers for the 2013 St. Louis Cardinals are listed. (42 points) Ages 24 29 37 24 26 25 24 32 22 29 23 31 Heights 72 76 73 73 77 76 72 74 75 75 74 79
Problem 3: Determine the splitting field of the polynomial (2 -2)(2-3)(2 -4) over Q. Find its degree over Q. Verify if all points of the splitting field are constructible.
Problem 3: Determine the splitting field of the polynomial (2 -2)(2-3)(2 -4) over Q. Find its degree over Q. Verify if all points of the splitting field are constructible.
Company 2007 2008 A 73 77 B 75 72 C 77 76 D 80 84 E 90 88 F 64 69 G 70 75 H 77 79 I 74 82 J 81 85 K 77 72 L 69 76 M 80 86 N 74 77 O 76 73 P 78 79 R 77 76 S 76 78 Will improving customer service result in higher stock prices for the companies providing the better service? “When a company’s satisfaction score has improved...
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6.4.15 Question Help 1 3 4 1 - 1 2 An orthogonal basis for the column space of matrix A is {V1, V2, V3). Use this orthogonal basis to find a QR factorization of matrix A. - 1 -3 1 - 1 1 3 A= 0 22 V2 2 V3 - 1 5 3 -2 1 1 1 5 8 1 3 Q=RE (Type exact answers, using radicals as needed.)