1

# Let $A$ be a nondefective $n \times n$ matrix with diagonalizing matrix $X .$ Show that the matrix $Y=\left(X^{-1}\right)^{T}$ diagonalizes $A^{T}$...

## Question

###### Let $A$ be a nondefective $n \times n$ matrix with diagonalizing matrix $X .$ Show that the matrix $Y=\left(X^{-1}\right)^{T}$ diagonalizes $A^{T}$

Let $A$ be a nondefective $n \times n$ matrix with diagonalizing matrix $X .$ Show that the matrix $Y=\left(X^{-1}\right)^{T}$ diagonalizes $A^{T}$

#### Similar Solved Questions

##### Six horses are qualified to enter the final race of the Kentucky Derby. How many different finishes of the first place_ runner-Up, and the third place are possible?In the above problem; suppose 2 of the horses in the final race have the same owner; the other = 4 horses have different owners_ How many possible finishes for the top three places, i.e. first place, runner-Up, and the third place have at least one of the tWo horses by the same owner in them?
Six horses are qualified to enter the final race of the Kentucky Derby. How many different finishes of the first place_ runner-Up, and the third place are possible? In the above problem; suppose 2 of the horses in the final race have the same owner; the other = 4 horses have different owners_ How ma...
##### Previaus PropiemAtodiciprobabillty that ranges from to 6. Compute random variable best described by unlfompolnt) Suppose the following:the probability density function f(x)the mean /the standard devlation(d) P(u -o <rsu+o) =PGx 2 3.19) =Note: You can earn partial credit on this problem: Provlaw My Answerg Submlt Answars
Previaus Propiem Atodici probabillty that ranges from to 6. Compute random variable best described by unlfom polnt) Suppose the following: the probability density function f(x) the mean / the standard devlation (d) P(u -o <rsu+o) = PGx 2 3.19) = Note: You can earn partial credit on this problem:...
##### This Question:of 10 (2 complete)This Quiz: 10 pts possibleSuppose brewery has filling machine that fills 12 ounce bottles of beer It is known that the amount of beer poured by this filling machine follows normal distribution with mean of 12.39 ounces and standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.29 and 12.35 ounces8351 16498475 0.1525
This Question: of 10 (2 complete) This Quiz: 10 pts possible Suppose brewery has filling machine that fills 12 ounce bottles of beer It is known that the amount of beer poured by this filling machine follows normal distribution with mean of 12.39 ounces and standard deviation of 0.04 ounce. Find the...
##### Q2)X A solid conducting sphere with radius R = 5.0 cm carries a positive charge Q=5.0nC. The sphere is surrounded by a concentric insulating shell with inner radius R; = 6.0 cm and outer radius Ro= 7.0 cm: The insulating shell has a unifor charge density p. Find the value of p s0 that the net charge of the entire system (sphere and shell) is Zero_A +9.4x10-6C /m'B. ~9.4xlO-'â‚¬ /m' C. -9.4xlo-'C /cm? D. +94x10-'C / cw'
Q2)X A solid conducting sphere with radius R = 5.0 cm carries a positive charge Q=5.0nC. The sphere is surrounded by a concentric insulating shell with inner radius R; = 6.0 cm and outer radius Ro= 7.0 cm: The insulating shell has a unifor charge density p. Find the value of p s0 that the net charge...
##### Une numberbaceri?retrincrated (oooqivenN(D) J07> T < 20 whcno the temperature the food dcorccs Celslur Wuncn T(t) S [{ whcn the tlme olnemernoenroncemcamccnnTnmancdalyen(a) Flnd the compositionn(c) -n(t)8t86Interoret meanina contnt Thls renresents thr rll which tnc numbcrWacraraFn GercadIncrcasinofunalnThis renrescntsthe numbcrhactacthe toodTunctionchc number bactcna Uactoc trom timc tto This rcpresents tne Increase whlch the tcmocrallre tho food chanqing Funchon Thls mcoretents tno rte{Ao
Une number baceri? retrincrated (ooo qiven N(D) J07> T < 20 whcno the temperature the food dcorccs Celslur Wuncn T(t) S [{ whcn the tlme olne mernoenron cemcamccnn Tnmancd alyen (a) Flnd the composition n(c) - n(t) 8t86 Interoret meanina contnt Thls renresents thr rll which tnc numbcr Wacrara ...
##### Sodium thiosulfate, $mathrm{Na}_{2} mathrm{~S}_{2} mathrm{O}_{3}$, is prepared from sodium sulfite and sulfur:$$8 mathrm{Na}_{2} mathrm{SO}_{3}(a q)+mathrm{S}_{8}(s) longrightarrow 8 mathrm{Na}_{2} mathrm{~S}_{2} mathrm{O}_{3}(a q)$$How many grams of $mathrm{Na}_{2} mathrm{~S}_{2} mathrm{O}_{3}$ can be obtained from $50.0 mathrm{~g}$ of sulfur?
Sodium thiosulfate, $mathrm{Na}_{2} mathrm{~S}_{2} mathrm{O}_{3}$, is prepared from sodium sulfite and sulfur: $$8 mathrm{Na}_{2} mathrm{SO}_{3}(a q)+mathrm{S}_{8}(s) longrightarrow 8 mathrm{Na}_{2} mathrm{~S}_{2} mathrm{O}_{3}(a q)$$ How many grams of $mathrm{Na}_{2} mathrm{~S}_{2} mathrm{O}_{3}$...
##### Both glucose and fructose are simple sugars with the same molecular formula of $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6} .$ Sucrose $\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right),$ or table sugar, consists of a glucose molecule bonded to a fructose molecule (a water molecule is eliminated in the formation of sucrose). (a) Calculate the energy released when a 2.0 - $\mathrm{g}$ glucose tablet is burned in air. (b) To what height can a 65 -kg person climb after ingesting such a
Both glucose and fructose are simple sugars with the same molecular formula of $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6} .$ Sucrose $\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right),$ or table sugar, consists of a glucose molecule bonded to a fructose molecule (a water molecule is e...
##### System Jivti find (le accccicted blcck diagiam 9 + $-2Y sf 7d foc X = | cS inpt cikl {6z (C = f as Occc Plt cbtain s(t) _ U , 29 (R=$ ) 6 ( â‚¬ + 2e) . "g = o Gy (lz 4 > -ug
system Jivti find (le accccicted blcck diagiam 9 + $-2Y sf 7d foc X = | cS inpt cikl {6z (C = f as Occc Plt cbtain s(t) _ U , 29 (R=$ ) 6 ( â‚¬ + 2e) . "g = o Gy (lz 4 > -ug...
##### Equation You Choose appropriate Only L are 3 Oni 7 Ju 1 the given 1 1 The choice correct of 1 integrating 1 differential L factor Fi below: 2 for Ty the variable new 1 eoduriable You lineoticer first - order that1
equation You Choose appropriate Only L are 3 Oni 7 Ju 1 the given 1 1 The choice correct of 1 integrating 1 differential L factor Fi below: 2 for Ty the variable new 1 eoduriable You lineoticer first - order that 1...
##### Find yl ify = 9csc *Y
Find yl ify = 9csc * Y...
##### Question 245 ptsThe interionic distances and lattice energies of NaF and CaO are compared in the picture shown below. Why the lattice energy of CaO (-3414 kJlmol) is nearly four times more exothermic as that of NaF (-910kJmol)231 pm239 PInDue to the slightly longer Ca-0 distance in CaO.CaO is a better electrolyte than NaFThe bonding in NaF is less ionic than in CaO.Due to the higher magnitude of charges of the ions in CaO.
Question 24 5 pts The interionic distances and lattice energies of NaF and CaO are compared in the picture shown below. Why the lattice energy of CaO (-3414 kJlmol) is nearly four times more exothermic as that of NaF (-910kJmol) 231 pm 239 PIn Due to the slightly longer Ca-0 distance in CaO. CaO is ...
##### What is the minimum daily requirement of vitamin c to preventscurvy in adults
what is the minimum daily requirement of vitamin c to prevent scurvy in adults...
##### 1. Absolute 0 is -4459"F. 332"C. both and d.b. 0PF_ d. OK f. None of the above:2. Convert 4 K to %.3 . Convert 21 %C to "F_Convert 32"F' t0 Kelvins_The different mechanisms for heat transfer are: Be sure t0 add little description for each for study purposes:Temperature is measure of what type of energy of the individual molecules of a substance?7 . True of False. Most materials expand when they are heated. Does ice expand when it is heated? Yes or No_8. True or False_ He
1. Absolute 0 is -4459"F. 332"C. both and d. b. 0PF_ d. OK f. None of the above: 2. Convert 4 K to %. 3 . Convert 21 %C to "F_ Convert 32"F' t0 Kelvins_ The different mechanisms for heat transfer are: Be sure t0 add little description for each for study purposes: Temperature...
##### Find the length of the curve y = In (3 sec x) from 0<XsSet up the integral that gives the length of the curve Use increasing limits of integration.(Type exact answersThe arc length of the curve is (Type an exact answer )
Find the length of the curve y = In (3 sec x) from 0<Xs Set up the integral that gives the length of the curve Use increasing limits of integration. (Type exact answers The arc length of the curve is (Type an exact answer )...
##### A sled with a mass of 25.0 kg rests on a horizontal sheet of essentially frictionless ice. It is attached by a 3.00-m rope to a post set in the ice. Once given a push; the sled revolves uniformly in a circle around the post as shown in the figure. Ifthe sled makes five complete revolutions every 60 S, find the force Fexerted on it by the rope.
A sled with a mass of 25.0 kg rests on a horizontal sheet of essentially frictionless ice. It is attached by a 3.00-m rope to a post set in the ice. Once given a push; the sled revolves uniformly in a circle around the post as shown in the figure. Ifthe sled makes five complete revolutions every 60 ...
##### Echle= (20_pointali Jokn growvs tomatoes Lwo spanle ficlds. Whcn Ik Ionalozs u7 Teady lo bc pickcd, he is curious a5 (o whcthcr thc sizcs of his Iomato plants diffcr Extwcen the Ewp fks Hetskes rndamn sample of cach plant from each field and mczsurcs the Eight of cch pLat HajeKlk summdn Fleld_ Fleld E Uraam LJm 10 mDaamisamalc StzeUx 0.02 sienilicance Icvel. Ferfurm \$-elcrx uf Hxpulhtsis Icsling incledin , DJeciuon Kule and hudp- Yihlc nnd confimm Your mulyWhat are the Null and Alternale Hypothe
Echle= (20_pointali Jokn growvs tomatoes Lwo spanle ficlds. Whcn Ik Ionalozs u7 Teady lo bc pickcd, he is curious a5 (o whcthcr thc sizcs of his Iomato plants diffcr Extwcen the Ewp fks Hetskes rndamn sample of cach plant from each field and mczsurcs the Eight of cch pLat HajeKlk summdn Fleld_ Fleld...