5

# (4 marks) Let F1 denote the real vector space of polynomials of degree not greater than with the inner product{p, 9}1, pl)ql) &xfor p,q â‚¬ P_ Show that the...

## Question

###### (4 marks) Let F1 denote the real vector space of polynomials of degree not greater than with the inner product{p, 9}1, pl)ql) &xfor p,q â‚¬ P_ Show that the two polynomialsPi(z) = 1 P(T) =1-rbasis for Pi_ Use the Gram-Schmidt process thonormal hasis for Pe from the hasis (P1, Pz) .consttucn

(4 marks) Let F1 denote the real vector space of polynomials of degree not greater than with the inner product {p, 9} 1, pl)ql) &x for p,q â‚¬ P_ Show that the two polynomials Pi(z) = 1 P(T) =1-r basis for Pi_ Use the Gram-Schmidt process thonormal hasis for Pe from the hasis (P1, Pz) . consttucn

#### Similar Solved Questions

##### Question (45 points): Determine the point group of the following molecules_coCH; Si "CH; Hyc- CH;C=c"HaN- HgN NH;H3C-""CH? CH;
Question (45 points): Determine the point group of the following molecules_ co CH; Si "CH; Hyc- CH; C=c" HaN- HgN NH; H3C- ""CH? CH;...
##### Student set about the conversion of compound an compound Question 5. (5 marks) but used result; they obtained mixture both and a5 well 45 much of the required reagent compounds and _ (compound results from the reaction of unused with product 3).OHOH6"Because the crude product was mixture; the student set about separating these four compounds: First; they dissolved the mixture in dichloromethane; and extracted with aqueous dilute hydrochloric acid, giving an organic phase (X) and an aqueous
student set about the conversion of compound an compound Question 5. (5 marks) but used result; they obtained mixture both and a5 well 45 much of the required reagent compounds and _ (compound results from the reaction of unused with product 3). OH OH 6" Because the crude product was mixture; t...
##### During lightning flash_ there exists potential ditcrenccVcloud Varaund 2.6 109 betwcen clauoroundresuil; charge oftrunsierred from the ground to the cloud_(a) How much work Moround -clcudthe charge bY the electric force?ClLi-SaaciesIf the work done by the electric lorce were useducccicrtc1100-kg automobile from rest; what would be its final speed?Delec_(c) If the work done bY the electric force were converted Into heat, how many kilograms of water at 0"C could be heated 100"C? Wground
During lightning flash_ there exists potential ditcrencc Vcloud Varaund 2.6 109 betwcen clauo round resuil; charge of trunsierred from the ground to the cloud_ (a) How much work Moround -clcud the charge bY the electric force? ClLi- Saacies If the work done by the electric lorce were used ucccicrtc ...
##### GIvenfunctions ((x)-2 6x and g(*)=6xFind the composition two functions:You can watch the video: https: / / wivm youtube cOm/ watch?v= 4z9EITz4inQafeature-youtu bef(9(x))=F((*))9((*))
GIven functions ((x)-2 6x and g(*)=6x Find the composition two functions: You can watch the video: https: / / wivm youtube cOm/ watch?v= 4z9EITz4inQafeature-youtu be f(9(x))= F((*)) 9((*))...
##### Uu shouta ue aole to answer thts question after studying Unit 12 (a) Solve the equationGive the solutions in polar form, and sketch them in thc complex plane:Let ~0,21,22,23,21,76 be the soltions that You found in part (a). Use the factorisation+1 =(t0 detormine tho complex Hher that is ohtained by multiplying together all tho solutious of the equationQuestion MAKS You shontd bc ablc to ausut[ this question "fter studying Unit 12 fwula to Iiud the Cutesian form ol the complex Wuber Alaivte
uu shouta ue aole to answer thts question after studying Unit 12 (a) Solve the equation Give the solutions in polar form, and sketch them in thc complex plane: Let ~0,21,22,23,21,76 be the soltions that You found in part (a). Use the factorisation +1 = ( t0 detormine tho complex Hher that is ohtaine...
##### Space vehicle of mass 000 kg (including empty of fuel lakes On 97.CCs9 of fuel at It Is ciew) wncn space station_ of 2 mls and throw released from the station with an initial speed rockets vehicle Icach out the gas at speed of s00mls when turned on 0) Can the speed of 4,500 mls will take b) If the answer is Yes then how much fuel needs to be t0 reach this speed? If the answer is No then what is the minimum speed the (uel ejected at for the rocket to be able to reach speed of 4,500 mis amount of
space vehicle of mass 000 kg (including empty of fuel lakes On 97.CCs9 of fuel at It Is ciew) wncn space station_ of 2 mls and throw released from the station with an initial speed rockets vehicle Icach out the gas at speed of s00mls when turned on 0) Can the speed of 4,500 mls will take b) If the a...
##### ExonGUAAGGene A5'ExonCUAAGmutGene A5'
Exon GU A AG Gene A 5' Exon CU A AG mutGene A 5'...
##### 84p83sa the avcage yaany aalary 0f an indiidual whose Fnal dac ce master' s [4 536 Lhousand 2ss Ihor bice Ihat of an Indivkdunl whose inpl degree I5 a enelots Comblnad, two people with each ol Lhese educatlonal amalnments earn 5114 thousand_ Find the avoraga yearly salary of an Individual with vach Iue9ito8 Iasa(nverge yeally enlury for Indmioual #hose Iinal degre# MEte HhnusandJacneioi & [Ihousand and Iha averaga yoarly salary fot Individual whon Ilnal deprae
84p83sa the avcage yaany aalary 0f an indiidual whose Fnal dac ce master' s [4 536 Lhousand 2ss Ihor bice Ihat of an Indivkdunl whose inpl degree I5 a enelots Comblnad, two people with each ol Lhese educatlonal amalnments earn 5114 thousand_ Find the avoraga yearly salary of an Individual with ...
##### Find the best approximation to z by Vectors of (he form â‚¬ | ICzVzi3362 J2Zm33The best approximation to z is (Simplify yourianswer )
Find the best approximation to z by Vectors of (he form â‚¬ | ICzVzi 3 3 6 2 J2 Zm 3 3 The best approximation to z is (Simplify yourianswer )...
##### Determine the polar moment of inertia and the polar radius of gyration of the shaded area shown with respect to point $P$.
Determine the polar moment of inertia and the polar radius of gyration of the shaded area shown with respect to point $P$....
##### 3. Cousider the integralK' [ &1dydc Sketch the region of integration_ Reverse the order of integration and compute the resulting integral.
3. Cousider the integral K' [ &1dydc Sketch the region of integration_ Reverse the order of integration and compute the resulting integral....
##### Which of the following visualizations best represents the distribution of $\mathrm{O}_{2}$ and $\mathrm{SO}_{2}$ molecules near an orifice some time after effusion occurs in the direction indicated by the arrows? The initial condition was one of equal numbers of $\mathrm{O}_{2}$ molecules $(\bullet)$ and $\mathrm{SO}_{2}$ molecules ( $\bullet$ ) on the left side of the orifice. Explain.
Which of the following visualizations best represents the distribution of $\mathrm{O}_{2}$ and $\mathrm{SO}_{2}$ molecules near an orifice some time after effusion occurs in the direction indicated by the arrows? The initial condition was one of equal numbers of $\mathrm{O}_{2}$ molecules \$(\bullet)...
##### Solve the following congruence equations. If there are nosolutions, explain how you know.1. 21ð‘¥ â‰¡ 7(ð‘šð‘œð‘‘35)2. 5ð‘¥ â‰¡ 4(ð‘šð‘œð‘‘9)
Solve the following congruence equations. If there are no solutions, explain how you know. 1. 21ð‘¥ â‰¡ 7(ð‘šð‘œð‘‘35) 2. 5ð‘¥ â‰¡ 4(ð‘šð‘œð‘‘9)...
##### The function f(x)= 1/ln(x^2) is guaranteed to have an absolute maximum and minimum on the interval [-5,-1]True or False?
The function f(x)= 1/ln(x^2) is guaranteed to have an absolute maximum and minimum on the interval [-5,-1] True or False?...
##### ProbAnalyze the graph the function f (Xi=x" 12x" 48X' 64x identifying all relative extrema and inflection points. (f(i=xX and f"(x) = 4(x - IX-412 * and f"(*1=126-4)(x-2)) (Wk 13, Sec. 3.6, Prob 1)f(i 1 (X)"(X) Characteristics of graph
Prob Analyze the graph the function f (Xi=x" 12x" 48X' 64x identifying all relative extrema and inflection points. (f(i=xX and f"(x) = 4(x - IX-412 * and f"(*1=126-4)(x-2)) (Wk 13, Sec. 3.6, Prob 1) f(i 1 (X) "(X) Characteristics of graph...
##### MM 1 1 0339 1 WW 1 1 1 U 1 1 1 1 1 1 1 1 1 L 1 1 1 1 1 1 #
MM 1 1 0339 1 WW 1 1 1 U 1 1 1 1 1 1 1 1 1 L 1 1 1 1 1 1 #...