## Question

###### (ek) is an orthonormal sequencc in an inncr product spacc X, and x Ã¢â€šÂ¬ X, show that with y CR @kCk; where ak (T,Ck) is orthogonal to the subspace Yn span{Ã¢â€šÂ¬1, Ã¢â€šÂ¬2,en}

(ek) is an orthonormal sequencc in an inncr product spacc X, and x Ã¢â€šÂ¬ X, show that with y CR @kCk; where ak (T,Ck) is orthogonal to the subspace Yn span{Ã¢â€šÂ¬1, Ã¢â€šÂ¬2, en}

## Answers

#### Similar Solved Questions

5 answers

##### 9. In meeting everyone shakes the hands of all other attendees. If there are a total of 528 handshakes, how many people are in the meeting?

9. In meeting everyone shakes the hands of all other attendees. If there are a total of 528 handshakes, how many people are in the meeting?...

5 answers

##### QuestionZ (a) Simplify:y2+5y+4 y2-12y+35 y2+12y+32 y2+3y-40

QuestionZ (a) Simplify: y2+5y+4 y2-12y+35 y2+12y+32 y2+3y-40...

5 answers

##### Conside< 4b SDE 8X --cx-k-X)at+& XlI-X)ar X = xe (0,) 6) Plot Io sample trajcctores (in one plot). 6) Let Y-Xx UJhat CDE does Y sxtisly ? c) Shok Hhat & solution Is xBt-&V1 Xc Xe Xe'b+-4th + |-X

Conside< 4b SDE 8X --cx-k-X)at+& XlI-X)ar X = xe (0,) 6) Plot Io sample trajcctores (in one plot). 6) Let Y-Xx UJhat CDE does Y sxtisly ? c) Shok Hhat & solution Is xBt-&V1 Xc Xe Xe'b+-4th + |-X...

5 answers

##### A spring has a natural length of 20 cm_ If a 22-N force is required to keep it stretched to length of 28 cm, how much work W is required to stretch it from 20 cm to 24 cm? (Round your answer to two decimal places:_Need Help?Read ItJalk to Tutor

A spring has a natural length of 20 cm_ If a 22-N force is required to keep it stretched to length of 28 cm, how much work W is required to stretch it from 20 cm to 24 cm? (Round your answer to two decimal places:_ Need Help? Read It Jalk to Tutor...

5 answers

##### The rotational absorption spectrum of 1C16O at temperature of 298 K is shown below The first line of the spectrum is in 3.842cm-]_ Molar masses: Mc-12.0111 gmol and Mo-15.9994 g mol2080100 cm

The rotational absorption spectrum of 1C16O at temperature of 298 K is shown below The first line of the spectrum is in 3.842cm-]_ Molar masses: Mc-12.0111 gmol and Mo-15.9994 g mol 20 80 100 cm...

5 answers

##### Exercise 3. Find the inverse of the function 1 + Y = 1 -e-I

Exercise 3. Find the inverse of the function 1 + Y = 1 -e-I...

5 answers

##### WVocabulary For each of the following, choose the letter of the word that best describes each statement and place on the Iine provided: Community B. Competition C. Ecosystem D. Habitat E: Niche Organism Population Predation Resource partitioning J. SymbiosisAgroup of the same specles of organism living in the same place and time Two or more species living closely together All populalions that occupy Itie same region Physical location where an organism Ilves The Iiving and non-Ilving components o

WVocabulary For each of the following, choose the letter of the word that best describes each statement and place on the Iine provided: Community B. Competition C. Ecosystem D. Habitat E: Niche Organism Population Predation Resource partitioning J. Symbiosis Agroup of the same specles of organism li...

5 answers

##### Conpcund Ã¢â€šÂ¬Please click here if image does not display: Figuie #]35003C002500 2000 Wavonumbott1500Please click here if image does not display:compound D

conpcund Ã¢â€šÂ¬ Please click here if image does not display: Figuie # ] 3500 3C00 2500 2000 Wavonumbott 1500 Please click here if image does not display: compound D...

5 answers

##### Click t0 V0 0A 0A Select the (e) (98012) 22 5 8 The answer (0 | - (0) = (fg)( = 2) = li 9)(2) = and enter correct choice The answer Is undefined lablo t0 evaluate the Jnok (Sroeinexo Slmplily choice below undefined. ASUE your below 2 pue and Simplify your answer:) 8 answer ) answer: ) (d) 0 | - (b) ( lollowing exprossions necessary, necessary; 2 in the In the ansier answer 8 t0 complete you box t0 complete you choice choice

Click t0 V0 0A 0A Select the (e) (98012) 22 5 8 The answer (0 | - (0) = (fg)( = 2) = li 9)(2) = and enter correct choice The answer Is undefined lablo t0 evaluate the Jnok (Sroeinexo Slmplily choice below undefined. ASUE your below 2 pue and Simplify your answer:) 8 answer ) answer: ) (d) 0 | - (b) ...

5 answers

##### ACTIVITY I: POLYNOMIAL OR NOT POLYNOMIAL Tell whether the following expression is a Polynomial or not. 1. 2x+ 3x + 4 2. 8x + 7 3.2x' _ 2/x + 8 4.7x"_x+2r' + [ 5. 4x' 2x + 7

ACTIVITY I: POLYNOMIAL OR NOT POLYNOMIAL Tell whether the following expression is a Polynomial or not. 1. 2x+ 3x + 4 2. 8x + 7 3.2x' _ 2/x + 8 4.7x"_x+2r' + [ 5. 4x' 2x + 7...

5 answers

##### Raviehrqurecharge 259 , [0-?0Pah?Tainc Ict potontial at * 0.550 In [1onttt Yourenetti (nlace Lgnhiconi {lnured and Incledo "pricpulieValuteUnutsStont#eaue aninttPurt 8ulf nuluunAtlnLaeina palauenEopren 4our nniwtetTlred Ahinulldoni IlouddInclude "Ppropalel? wnllt:FjuiaValtteUnltsKubmnllNhilialNbnelumCLom

Ravie hrqure charge 259 , [0-?0 Pah? Tainc Ict potontial at * 0.550 In [1onttt Yourenetti (nlace Lgnhiconi {lnured and Incledo "pricpulie Valute Unuts Stont #eaue anintt Purt 8 ulf nuluun Atln Laeina palauen Eopren 4our nniwtet Tlred Ahinulldoni Iloudd Include "Ppropalel? wnllt: Fjuia Valt...

5 answers

##### Tion 25Let A be 2 x 2 matrix: if trace A =8 and det(A) = 12 then the eigenvalues of A are:eredSelect one: a.3,4'd out ofb. 4,4ag question10,2 d. 2,6

tion 25 Let A be 2 x 2 matrix: if trace A =8 and det(A) = 12 then the eigenvalues of A are: ered Select one: a.3,4 'd out of b. 4,4 ag question 10,2 d. 2,6...

5 answers

##### For the function f(x)3x construct and simplify the difference quotient Ix+h)-fl)The difference quotient for f(x) = 13x

For the function f(x) 3x construct and simplify the difference quotient Ix+h)-fl) The difference quotient for f(x) = 13x...

1 answers

##### E. coli Growth A strain of $E$ coli Beu 397 -recA441 is placed into a nutrient broth at $30^{\circ}$ Celsius and allowed to grow. The data shown in the table are collected. The population is measured in grams and the time in hours. Since population $P$ depends on time $t,$ and each input corresponds to exactly one output, we can say that population is a function of time. Thus $P(t)$ represents the population at time $t .$ (a) Find the average rate of change of the population from 0 to 2.5 hours.

E. coli Growth A strain of $E$ coli Beu 397 -recA441 is placed into a nutrient broth at $30^{\circ}$ Celsius and allowed to grow. The data shown in the table are collected. The population is measured in grams and the time in hours. Since population $P$ depends on time $t,$ and each input corresponds...

5 answers

##### 1. How many moles of N are there in a sample that contains 14.8grams of nitrogen?2. How many grams of nitrogen are there in a sample thatcontains 1.33 mol of N?

1. How many moles of N are there in a sample that contains 14.8 grams of nitrogen? 2. How many grams of nitrogen are there in a sample that contains 1.33 mol of N?...

5 answers

##### For the function f(x) = Z(x - 12)2 _ 3 find: a) Find the vertexb) Find the minimum or maximum value of the functionc) Find the line of symmetry:

For the function f(x) = Z(x - 12)2 _ 3 find: a) Find the vertex b) Find the minimum or maximum value of the function c) Find the line of symmetry:...

5 answers

##### 15)At what points does the graph of f (x) 2x" 15x have horizontal tangent? For what values of x does the graph of f (x) x + 2 cos(x) have horizontal tangent overthe interval 0,Zt16) Find the equation of the tangent line to the curvesin(x) + cos(x) at (T,-1).17) Find the equation of the tangent line to the curve y = 2r" + 6x(_1,_5)-

15) At what points does the graph of f (x) 2x" 15x have horizontal tangent? For what values of x does the graph of f (x) x + 2 cos(x) have horizontal tangent over the interval 0,Zt 16) Find the equation of the tangent line to the curve sin(x) + cos(x) at (T,-1). 17) Find the equation of the tan...

5 answers

##### The clipped response of a half-wave rectifier is the periodic function flt) of period 2n _ given by(ssin t (0<tst) f (t) (t$ts21)Plot a graph of flt) for-Zn $ t $ Zr and express flt) as Fourier series expansion.

The clipped response of a half-wave rectifier is the periodic function flt) of period 2n _ given by (ssin t (0<tst) f (t) (t$ts21) Plot a graph of flt) for-Zn $ t $ Zr and express flt) as Fourier series expansion....

5 answers

##### Of inhalation to the end of exhalation, breathing takes about seconds The rate From the beginning of air flow Into the lungs can be expressed by the function f(t) = Zsin (f) Find the volume (measured in liters) of inhaled air in the lungs 3 seconds after beginning to inhale

of inhalation to the end of exhalation, breathing takes about seconds The rate From the beginning of air flow Into the lungs can be expressed by the function f(t) = Zsin (f) Find the volume (measured in liters) of inhaled air in the lungs 3 seconds after beginning to inhale...

5 answers

##### Undorpladuala Mart Queitoua IiaeJotalauun HnnrilDuankn pun pcodauty Iabla *or Innta dla I Ena blua colla Pinco VOL valioe lia Deon cult duclinnln)TTnenliPnr ^ Jolt Probatllty Tabla Runno enaincanno OuPeFotmiuu Daro EnninatnngAuarwanFutnw Pell nm otulyLulirno Pon W Tolulaenn Ã¢â€šÂ¬PuTCnanmPaitdWNAQuuulon Proxpb lor Pazi Ã¢â€šÂ¬ 4 DpirCaJen Intunotatnd Alllul-ma in PurUi tunYHiducJr nrobnbuty tnol nu ilejun 44euncsnd nta Enginda ring maprGenmaeJMEHlEaAccemlntGtecd cleetn M-DmttipUnuII Uun Waa 4norutJecru

Undorpladuala Mart Queitoua Iiae Jotala uun Hnnril Duankn pun pcodauty Iabla *or Innta dla I Ena blua colla Pinco VOL valioe lia Deon cult duclinnln) TTnenli Pnr ^ Jolt Probatllty Tabla Runno enaincanno Ou PeFotmiuu Daro Enninatnng Auarwan Futnw Pell nm otuly Lulirno Pon W Tolula enn Ã¢â€šÂ¬ PuTC na...