## Question

###### Show that a linear operator $mathrm{A}$ on a finite-dimensional vector space $mathrm{X}$ is invertible if and only if it is one-to-one or onto.

Show that a linear operator $mathrm{A}$ on a finite-dimensional vector space $mathrm{X}$ is invertible if and only if it is one-to-one or onto.

## Answers

#### Similar Solved Questions

5 answers

##### The conducting rod shown In the accompanying figure moves along parallel metal rails that are 25-cm part: The system Is resistances of the rod and the rails are negligible; but the section has resistance of 0.25 n 3 X M X Xuniform magnetic field which directed into the page:25 cm5.0 mls0.25 $X N *XXPart aIf the magnetic field strength07 T, what force required to keep the rod moving at 5.0 m/s?Enter answer hereof 10 attempts usedCHECK ANSWERPart bWhat is the power dissipated in the resistor when

The conducting rod shown In the accompanying figure moves along parallel metal rails that are 25-cm part: The system Is resistances of the rod and the rails are negligible; but the section has resistance of 0.25 n 3 X M X X uniform magnetic field which directed into the page: 25 cm 5.0 mls 0.25 $ X ...

5 answers

##### Questioncharged particle observed travelirg Circuld patk Mhdmn Lath YouldMninorn Madnelic [athe parlicle were (ravelna lwce YastIna radius 0l mhe circularQUE TionDoee chatna 0uino component/ Iia rnnt Jo "ooh upnud Ot paqu Into the Dagscicht and uxpenenconUucriTcno cnyid hutu

Question charged particle observed travelirg Circuld patk Mhdmn Lath Yould Mninorn Madnelic [a the parlicle were (ravelna lwce YastIna radius 0l mhe circular QUE Tion Doee chatna 0uino component/ Iia rnnt Jo "ooh upnud Ot paqu Into the Dags cicht and uxpenencon Uucri Tcno cnyid hutu...

5 answers

##### RaneFnArcheologists unearthed an ancient ruin they thought was 0uo cars old: various arlifacts_ Amongst the ruins_ they found some of which were wooden They analyzed the radioactivity of these discovered that they exhibited wooden artifacts and rate of 4.209 cpIVg total carbon. Assuming exhibit fresh sample of wood would rate of 15, cpm g total carbon and the half life of 1C is 5730 years the artifacts found in this ancient ruin are they correct in assuming and so the ruin itself; is 000 allow

RaneFn Archeologists unearthed an ancient ruin they thought was 0uo cars old: various arlifacts_ Amongst the ruins_ they found some of which were wooden They analyzed the radioactivity of these discovered that they exhibited wooden artifacts and rate of 4.209 cpIVg total carbon. Assuming exhibit fr...

5 answers

##### Find the area bounded by the curves y = 2 Vx and y = Xa) 0 3b) 0 8c)3 8 d) 0 - 5 3e) O -= 4

Find the area bounded by the curves y = 2 Vx and y = X a) 0 3 b) 0 8 c) 3 8 d) 0 - 5 3 e) O -= 4...

5 answers

##### The argun ents dn Onen Gdans Hint: DoeracN Iterabong for tne IertNe Meboi9l2) wherie 0220o.(1.1} Selrtthe corrct angwer:wnctionconancous and symmetric wih respect to u-axg noaiMmetnc mh [esCec 4-3is an not Counogj_The iunction_ both hav- coninuou3 lirst derivativea cuming POINL None Ihe abOv tne.(1.2) Selct tha corE _ ans"er Usire the Bisection method DeAde iIztons find the iriersection points dy significant figures, Etarting with the interval ECC32533 101/32020possibe determun? the mumb_

The argun ents dn Onen Gdans Hint: DoeracN Iterabong for tne IertNe Meboi 9l2) wherie 0220o. (1.1} Selrtthe corrct angwer: wnction conancous and symmetric wih respect to u-axg noaiMmetnc mh [esCec 4-3is an not Counogj_ The iunction_ both hav- coninuou3 lirst derivativea cuming POINL None Ihe abOv t...

2 answers

##### 3. (4) Draw a simple connected graph with 5 vertices and degree sum 12 that contains an Euler circuit_

3. (4) Draw a simple connected graph with 5 vertices and degree sum 12 that contains an Euler circuit_...

5 answers

##### ~/5 points SCalcET6 7.7.005_Given. K #sin(r)dr,n = 6 Do the following (Round your answers to six decimal places (a) Use the Midpoint Rule to approximate the given integral with the specified value of n_(b) Use the Simpson'$ Rule to approximate the given integral with the specified value of n.Compare your results to the actual value to determine the error in each approximationActualErrors Em actual M6 actualNeed [email protected] Iubr~/5 pointsSCalcET6 7.7.006_Given. k <ac n = 6 Do the fol

~/5 points SCalcET6 7.7.005_ Given. K #sin(r)dr,n = 6 Do the following (Round your answers to six decimal places (a) Use the Midpoint Rule to approximate the given integral with the specified value of n_ (b) Use the Simpson'$ Rule to approximate the given integral with the specified value of n...

3 answers

##### Question 2_ Ifa person drinks a large amount of water very quickly, it is possible to exceed the rate of water removal by the kidney (~1 L/hour), essentially diluting the blood: The resulting osmotic pressure causes cells to swell: Fat and muscle cells have a capacity to adjust to this change in volume; but neurons in the brain do not have room to accommodate this size increase. (The skull is so densely packed, there is no room for swellingl) Consequently, as water enters neuronal cells, pressur

Question 2_ Ifa person drinks a large amount of water very quickly, it is possible to exceed the rate of water removal by the kidney (~1 L/hour), essentially diluting the blood: The resulting osmotic pressure causes cells to swell: Fat and muscle cells have a capacity to adjust to this change in vol...

5 answers

##### Let's say that you start with an aqueous solution of various compounds and you want to separate them: The strategy consists of choosing chemical that will selectively precipitate one component of the mixture at a time You separate the precipitate by physical methods (e.g: filtration, centrifugation) , and then continue reacting the rest of the mixture with another chemical that will selectively precipitate another component, and so forth:For this exercise, let'$ say that you begin with

Let's say that you start with an aqueous solution of various compounds and you want to separate them: The strategy consists of choosing chemical that will selectively precipitate one component of the mixture at a time You separate the precipitate by physical methods (e.g: filtration, centrifuga...

5 answers

##### B0 Ucion Prepared Iniually U,30.In hydroiluoric acid (HF) U2Jin soium Auonda (NaF) . Complete the reacrion cable bebw; that You cou use / t0 caloulate the pH of chis solubon. to *Lnd Ior [ a Unknoyin chango In [#,o-] YoU can I0ove Ou: tr0 W[ symbol for mdarity:(He|[u;o]initialcuafen

B0 Ucion Prepared Iniually U,30.In hydroiluoric acid (HF) U2Jin soium Auonda (NaF) . Complete the reacrion cable bebw; that You cou use / t0 caloulate the pH of chis solubon. to *Lnd Ior [ a Unknoyin chango In [#,o-] YoU can I0ove Ou: tr0 W[ symbol for mdarity: (He| [u;o] initial cuafen...

5 answers

##### 1-/9 Points]DETAILSDEVORESTAT9 7.E.004A CI Is desired for the true average stray oad loss (watts) for certain type of induction motor whe places_ Compute 9590 CI for when 25 and *wattsCompute 9590 CI for when100 and * 58.9_ watts(c) Compute 9990 CI for when100 and * 58.9.wattsCompute an 82% CI for when 100 and walts58.9.(e) How large mustthe wldth of the 99o0 Interval for # Is t0 be 0? (Round rour answerYou may need Use the appropriate table In the Appendlx of Tables t0 ansuer tnls question: Nea

1-/9 Points] DETAILS DEVORESTAT9 7.E.004 A CI Is desired for the true average stray oad loss (watts) for certain type of induction motor whe places_ Compute 9590 CI for when 25 and * watts Compute 9590 CI for when 100 and * 58.9_ watts (c) Compute 9990 CI for when 100 and * 58.9. watts Compute an 82...

5 answers

##### Eg 1 0#[ 8 (E 3 0 3 0 Ep 1 E72 H 1 L t5 [ 1 9

eg 1 0#[ 8 (E 3 0 3 0 Ep 1 E72 H 1 L t5 [ 1 9...

5 answers

##### Complete the table below by deciding whether precipitate forms when aqueous solutions and B are precipitate will form_ enter its empirical formula in the last column;Docsprecipitatc form when and arc mixed?empirical formula of precipitateDosolutionsolutionsodium acetateammonlum bromideyeszinc nitratepotasslum hydroxideYesmanganese(II) bromidenickel(II) acetateyes

Complete the table below by deciding whether precipitate forms when aqueous solutions and B are precipitate will form_ enter its empirical formula in the last column; Docs precipitatc form when and arc mixed? empirical formula of precipitate Do solution solution sodium acetate ammonlum bromide yes z...

5 answers

##### 23.) ! Place the following in order of increasing entropy at 298 K Ne Xe He A) He < Kr < Ne < Ar < Xe B) Xe < Kr < Ar < Ne < He C) Ar < He < Ar < Ne < Kr D) Ar < Ne < Xe < Kr < He E) He < Ne < Ar < Kr < Xe

23.) ! Place the following in order of increasing entropy at 298 K Ne Xe He A) He < Kr < Ne < Ar < Xe B) Xe < Kr < Ar < Ne < He C) Ar < He < Ar < Ne < Kr D) Ar < Ne < Xe < Kr < He E) He < Ne < Ar < Kr < Xe...

5 answers

##### 477545| OnciHomework: HW 26: Section 9.1 Estimating a Population Propo Score: 0 of 1 pt 5 of 10 (8 complete) *8.2.20project found recently tnat 7790 of a random sample of 1-Propzint 1130 teens said they regularly use instant messaging (.75,.79) Other studies have iound an "instant messaging gap with relatively fevr adults using The screen shot tO the right p =.77 snows now calculator repons results Of interval estimauon n=1130.00 at the 959 confidence level with the teen data: Explain how t

4775 45| Onci Homework: HW 26: Section 9.1 Estimating a Population Propo Score: 0 of 1 pt 5 of 10 (8 complete) *8.2.20 project found recently tnat 7790 of a random sample of 1-Propzint 1130 teens said they regularly use instant messaging (.75,.79) Other studies have iound an "instant messaging ...

1 answers

##### State the conditions under which $\mathbf{A}^{-1}$ exists. Then find a formula for $\mathbf{A}^{-1}$ $$\mathbf{A}=[x]$$

State the conditions under which $\mathbf{A}^{-1}$ exists. Then find a formula for $\mathbf{A}^{-1}$ $$\mathbf{A}=[x]$$...

5 answers

##### Final Conclusion equilibrium, the strong acid has lower pH (more acidic) than the weak acid The pH of the 0.1 M strong acid is about 10Ox more acidic than the weak acid of the same 0.1 M concentrationAnswer the following questions:Strong acids dissociate 100%into ions and remain asionsin aqueous solulion2) Weak acids dissociate less than 5%into ions and the weak acid staysmostly as Select |not as Select ]in aqueoussolution3) Ht in water combines with water (Ht HzO) to produce Select ] (H3O ) in

Final Conclusion equilibrium, the strong acid has lower pH (more acidic) than the weak acid The pH of the 0.1 M strong acid is about 10Ox more acidic than the weak acid of the same 0.1 M concentration Answer the following questions: Strong acids dissociate 100% into ions and remain as ions in aqueou...

5 answers

##### The radial funcion of the 3s atomic orbital for the hydrogen atom is given below: '[3e. =N 18r Rzs Pz 3 {z -' _a) Calculate the value of R3s atr = 0 and as teds to infinity: Note that the exponential term will always dominate the term in parentheses, and so its limiting behaviour alone will determine the behaviour of the function as r tends to infinity: b) Calculate the values of rlao and hence of 1, for which R3s 0,by solving the quadratic polynomial equation 18 '/. {z7-& 2Sk

The radial funcion of the 3s atomic orbital for the hydrogen atom is given below: '[3e. =N 18r Rzs Pz 3 {z - ' _ a) Calculate the value of R3s atr = 0 and as teds to infinity: Note that the exponential term will always dominate the term in parentheses, and so its limiting behaviour alone w...

5 answers

##### [coss (x) sin' (x) dx 51 9) 0 3sin"(x) sin8 (x) + â‚¬ 81b) O-3cos(x) + jcos'(r) + â‚¬1 c) 0zcos"(r) gcos"(x) + Cd 0 zcos"6) 1 + gcos"6) + â‚¬ 6sine (x) sin" (x) + â‚¬ 181

[coss (x) sin' (x) dx 5 1 9) 0 3sin"(x) sin8 (x) + â‚¬ 8 1 b) O-3cos(x) + jcos'(r) + â‚¬ 1 c) 0zcos"(r) gcos"(x) + C d 0 zcos"6) 1 + gcos"6) + â‚¬ 6sine (x) sin" (x) + â‚¬ 181...

3 answers

##### Let absolutely continuous random variable X have the following Cumulative distribution [unction:for _ < 0 F() = for 0 < <1 Find the corresponding probability density funetion f (x) of for _ > random variable X Be carelul to specily where it is non-zero.

Let absolutely continuous random variable X have the following Cumulative distribution [unction: for _ < 0 F() = for 0 < <1 Find the corresponding probability density funetion f (x) of for _ > random variable X Be carelul to specily where it is non-zero....