a. 1 4. Let Sn =EX=1 Show that In(n+1) < Sn S 1+In n b. Show that {an} = {Sn - In n} Show that sequence {an} converges C.
1 7) Show that the series converges/diverges 1 1 8) Show that the sequence a N + 1 N+ 1 is monotonic.
Show that if //AB-1//=E<1,
then//A^-1-B//<=//B//(E/(1-E))
16. Show that if | AB-1|| = < < 1, then 14--BISHBI
please aswer last 2
Consider the two states | w) 3i | ф1) + 3і | ф2)—1 фз) and | x) 3D1 ф1)-i | ф2) + 5i | фз), whcrc I ,2) and | 43) arc orthonormal (a) Calculate ( ), (x I x), (y | x), (x l ) and infer (w + x I x). Are the scalar products ( ) and (x I w) equal? (b) Calculate | x | and | x)(/ \. Are they equal?...
Show that < 1, 0, -1 >, < -1, 1, 0 > , < 0, 1, 1, > generate R^3. Show all steps algebraically.
Show the similarity:
please show how to solve this...
Show the similarity: x 1 dx (x2 + a2)m 2(-m + 1)(x2 + a2)m-1+C By using the substitution u = x2 + a2. Make sure that the integral is correct by derivation your answer.
Show that −1 ≤ r ≤ 1, where r represents Pearson's correlation coefficient. Note : Show the formulas and calculations used.
Show that
for −1 ≤ x ≤ 1 .
This is for Calculus 2. Including steps would be wonderful and
any help would be nice.
We were unable to transcribe this imageShow that aretan(e) = ] 1–1" (***) for –15151. Show that arctan: for -1<r<1.
4. Let A be a square matrix such that AAT-1. Show that AI = ±1.
4. Let A be a square matrix such that AAT-1. Show that AI = ±1.
(a) Show that 4x + 1 is a unit in Z8[2]. (b) Show that 4x + 2 is a zero divisor in Zg.