2

Question 4 (SOpts)For T € L(V), show that T can be written as a linear combination of isometries:Hint: If S* = Sand IISll < 1,then $ is a linear combinatio...

Question

Question 4 (SOpts)For T € L(V), show that T can be written as a linear combination of isometries:Hint: If S* = Sand IISll < 1,then $ is a linear combination of two isometries: (If you want to use this fact; you must prove it:)

Question 4 (SOpts) For T € L(V), show that T can be written as a linear combination of isometries: Hint: If S* = Sand IISll < 1,then $ is a linear combination of two isometries: (If you want to use this fact; you must prove it:)



Answers

Let $\mathbf{u}_{1}, \ldots, \mathbf{u}_{p}$ be an orthogonal basis for a subspace $W$ of $\mathbb{R}^{n},$ and let $T : \mathbb{R}^{n} \rightarrow \mathbb{R}^{n}$ be defined by $T(\mathbf{x})=\operatorname{proj}_{W} \mathbf{x}$ Show that $T$ is a linear transformation.

Let's assume they're Tito. Deal. Um, all three is a quart ot to be one off w you want to show that music will go w so they should be clear. Now you know that you do is 11 Okay, so 52 off the one we use equal Toti to off people in W these two us on Lecter's. So this implies that the one off we is equal to it even off w no use the fact that even his 11 to say that we easy quartered up. So you have shown that, do you, don't you? On his 11 So this follows from the eagle being 11 and this follows from the one being one. So choose select 33 we any vector in capital itri You want to sure that did exist. Some we won. So is that he took even off. Everyone is 1/4 Vetri. You want to find such a even whether it exists or not. If you can manage to show that you will show that it would even his own. Okay. But you know that you do and be one both her own. So used affair 30 to his own do to get a vector w in Vito. So it's 32 off w is 1/4 of a tree. No, w is in capital we toe right. No used effect that even his own goal to get every one in capital B one. So is that the one off everyone is 1/4 double. So now this equation just becomes P two off the one everyone is acquittal 33 So you managed to find of even their 42 even his own. Now, for the final part is just a combination of the previous two parts, which you have what you have done. I believe so, if even anti to both her eyes, um, off ISMs. That means that even to to both her 11 there 42 divan is 11 and you don't even both. Toronto soapy toe off Dylan is on since export one won an honorable It's clearly a nice home office


Similar Solved Questions

5 answers
For the product shown below as Fischer projection R-H and ; the chiral alcohol fonned is the (R)- enantiomer. Identify both suitable nucleophile for this reaction and suitable R' group:N-HExplain why the reaction below yields only one isomer of 3-methyl-3-hexene Me OH
For the product shown below as Fischer projection R-H and ; the chiral alcohol fonned is the (R)- enantiomer. Identify both suitable nucleophile for this reaction and suitable R' group: N-H Explain why the reaction below yields only one isomer of 3-methyl-3-hexene Me OH...
5 answers
V, the speed of the masses as te carpasses tougn te second photogate:Pcz+ 2 V= 2r"Fm 4JE dt AtV, the uncertainty in the speed 0f te masses as te catzasses through the $8 speed of the masses as the cart passes through the first photogate:V =m} ha_hltmdl mI +mzFo FDerive this equation.
V, the speed of the masses as te carpasses tougn te second photogate: Pcz+ 2 V= 2r"Fm 4JE dt At V, the uncertainty in the speed 0f te masses as te catzasses through the $ 8 speed of the masses as the cart passes through the first photogate: V = m} ha_hltmdl mI +mz Fo F Derive this equation....
5 answers
5I)Ls,Find thee spherical coordinates for the point (-1, V3.2 8) :
5 I) Ls, Find thee spherical coordinates for the point (-1, V3.2 8) :...
5 answers
Eared Points;U4 V Show required your work accelerate and 75 kg appropriate sprinter from units 01 1S31 steps 1 of 17 ms in 3Possible 7
Eared Points; U4 V Show required your work accelerate and 75 kg appropriate sprinter from units 01 1S31 steps 1 of 17 ms in 3 Possible 7...
5 answers
5. The weight; in grams of the pair of kidneys in adult males between the ages of 40 and 49 has a bell shaped distribution with a mean 0f 325 grams and a standard deviation of 30 grams, (a). About 95% of kidney pairs will be between what weights? (b). What percent of kidney pairs weighs between 235 grams and 415 grams?
5. The weight; in grams of the pair of kidneys in adult males between the ages of 40 and 49 has a bell shaped distribution with a mean 0f 325 grams and a standard deviation of 30 grams, (a). About 95% of kidney pairs will be between what weights? (b). What percent of kidney pairs weighs between 235 ...
5 answers
5. (y cos? x)dx + cos x dy = 0
5. (y cos? x)dx + cos x dy = 0...
5 answers
2502007 150 1 1005020406080Temperature (C)Figure 11.2 Solubility of sulfanilamide in 95% ethyl alcohol
250 200 7 150 1 100 50 20 40 60 80 Temperature (C) Figure 11.2 Solubility of sulfanilamide in 95% ethyl alcohol...
5 answers
A thin nonconducting rod of finite length L carries uniform linear charge density +A on the top P26.7 A on the bottom half; compare to Fig: 26-6_ half and a uniform charge density Use symmetry argument to determine the direction of the electric field at P due to the rod. Find E at P for large How does it depend on y? What does this remind you Take the limit of this expression of?
A thin nonconducting rod of finite length L carries uniform linear charge density +A on the top P26.7 A on the bottom half; compare to Fig: 26-6_ half and a uniform charge density Use symmetry argument to determine the direction of the electric field at P due to the rod. Find E at P for large How do...
5 answers
Placebo Drug A Drug B n = 192 n = 186 n = 188Side effect Upper respiratory congestion Sinus headache Stomachache Neurological headache Cough Lower respiratory congestion10321911 225 4632 1234 2255 1872 3125
Placebo Drug A Drug B n = 192 n = 186 n = 188 Side effect Upper respiratory congestion Sinus headache Stomachache Neurological headache Cough Lower respiratory congestion 10 32 19 11 2 25 46 32 12 34 22 55 18 72 31 2 5...
5 answers
Ri = U 0z Rz = 40 n R3 = 30 n81 = As = %3' ^SI
Ri = U 0z Rz = 40 n R3 = 30 n 81 = As = %3' ^SI...
5 answers
8) (14 points) Look at the two triangles in the picture below a) How do you know that the triangles are similar? b) Fill in the following statement with the appropriate letters: (Remember means is similar to ) ABC Find all of the missing sides and angles. There are 2 sides anc 3 angles to fll in You may round the side lengths to 2 decimal places. Explain how you figured them out7.0 CDLJ.7 cmI06 ctu
8) (14 points) Look at the two triangles in the picture below a) How do you know that the triangles are similar? b) Fill in the following statement with the appropriate letters: (Remember means is similar to ) ABC Find all of the missing sides and angles. There are 2 sides anc 3 angles to fll in You...
5 answers
If $f(x)$ is defined and $f^{prime}(x)$ exists for each $x, a<x<b$, prove that $f$ is continuous there.
If $f(x)$ is defined and $f^{prime}(x)$ exists for each $x, a<x<b$, prove that $f$ is continuous there....
5 answers
(3 - 4i) + (6 + 3i) =Select one:~3 - i~9 - 3i9 _9 _ 7iThe two solutions of the equation (x 1)2 = 16 are:Select one:I = 3,3 = 52 = -1,2 = 32 = -5,2 = 3I = -3,3 = 1The solution of the inequality 5 21 > 3Select one: I < -1I > -1I < 12 > 1
(3 - 4i) + (6 + 3i) = Select one: ~3 - i ~9 - 3i 9 _ 9 _ 7i The two solutions of the equation (x 1)2 = 16 are: Select one: I = 3,3 = 5 2 = -1,2 = 3 2 = -5,2 = 3 I = -3,3 = 1 The solution of the inequality 5 21 > 3 Select one: I < -1 I > -1 I < 1 2 > 1...
5 answers
Use n = 4 to approximale the value o/ Ie nlegral by the lollowng mathods Jihe TanezoldalSirtpyong muie (cinoOEt[(er+5) . (0) Use # #rapuzold)approxmnHlecfto? +5) dr= (Rourd tha final anurtt thre docim4l plucag nnaouo Pornoplacesnnerat
Use n = 4 to approximale the value o/ Ie nlegral by the lollowng mathods Jihe Tanezoldal Sirtpyong muie (cino OEt [(er+5) . (0) Use # #rapuzold) approxmn Hlec fto? +5) dr= (Rourd tha final anurtt thre docim4l plucag nnaouo Porno places nnerat...
5 answers
(33 points) Differentiate flt) = tantf' (t)
(33 points) Differentiate flt) = tant f' (t)...
5 answers
6000 ! 00 V 00o0 8 0oo V 3 1 1 8 1 1 1 J W H 1 U 1 L 1 H 1 1 1 W 1 1 I H 8 1 JU 1 8 1 5 '! L 1
6000 ! 00 V 00o0 8 0oo V 3 1 1 8 1 1 1 J W H 1 U 1 L 1 H 1 1 1 W 1 1 I H 8 1 JU 1 8 1 5 ' ! L 1...
5 answers
The specific heat of a certain type of metalis 0.128 J/(g⋅∘C). What is the final temperatureif 305 J of heat is added to 25.8 gof thismetal, initially at 20.0 ∘C?
The specific heat of a certain type of metal is 0.128 J/(g⋅∘C). What is the final temperature if 305 J of heat is added to 25.8 gof this metal, initially at 20.0 ∘C?...
5 answers
A weak acid drug; is metabolised in the liver with CYP3A4 enzymes This drug is not a pro-drug: Considering the pharmacokinetic steps (ADME); discuss howthe duration of drug action can be prolonged: Explain your answer by giving examples_
A weak acid drug; is metabolised in the liver with CYP3A4 enzymes This drug is not a pro-drug: Considering the pharmacokinetic steps (ADME); discuss howthe duration of drug action can be prolonged: Explain your answer by giving examples_...
5 answers
Retl( OMELmw97 toimmkticn uuctva (or Ilr" A UeAta WleieeMe mtalHltuel-Juv"#uueal In clul- rtonavc Iotu(4tuIcI(14io(Afiiiciia, Wnne Wneeenualu uennnt lalx99 94interval Iot tc nion ("duxtiou = cohsledlkvdFm / 0I -ninci clumstni; thatean (rlucion Linim7dbee[CUcoog Dog ta cunlelrnce Interyl conuuic [^ ttan 90 Mqlli rantes petIe clmnt VICCChcjx &nehValjl; Micol |6~CH4YMoro
Retl( OMELm w97 toimmkticn uuctva (or Ilr" A UeAta WleieeMe mtal Hl tuel-Juv"#uueal In clul- rtonavc Iotu(4tuIcI(14io(Afiiiciia, Wnne Wneeenualu uennnt lalx 99 94 interval Iot tc nion ("duxtiou = cohsledlkvd Fm / 0I - ninci clumstni; thatean (rlucion Linim7 dbee[C Ucoog Dog ta cunlelr...

-- 0.021239--