1

Problem Consider the matrix A =HShow that 1s a eigenvalue of A with algebraic multiplicityDetermine the geometric multiplicity of this eigenvalueFind basis for the ...

Question

Problem Consider the matrix A =HShow that 1s a eigenvalue of A with algebraic multiplicityDetermine the geometric multiplicity of this eigenvalueFind basis for the eigenspace E3 (A-30).Find bases for 3I)2 and (A 31)3 s0 that your basis for 3I)k includes your basis for 31)*-1_ Do this by solving 3Jv = and (A 3[Jw where is an eigenvector in E3. Note that if your second basis already has vectors there won't be any additional vectors in the third basislForm the matrix whose columns are the thre

Problem Consider the matrix A = H Show that 1s a eigenvalue of A with algebraic multiplicity Determine the geometric multiplicity of this eigenvalue Find basis for the eigenspace E3 (A-30). Find bases for 3I)2 and (A 31)3 s0 that your basis for 3I)k includes your basis for 31)*-1_ Do this by solving 3Jv = and (A 3[Jw where is an eigenvector in E3. Note that if your second basis already has vectors there won't be any additional vectors in the third basisl Form the matrix whose columns are the three vectors in Four basis for E3 and compute Notice that you order the columns of in the most logical way; will be triangularl 5-'AS. Solve the system y = Jy: Find the solution to 1 Ar by multiplying by the appropriate matrix



Answers

Let $B=\left\{v_{1}, v_{2}, v_{3}, v_{4}\right\}$ be a basis for a vector space $V$. Find the matrix with respect to $B$ for the linear operator $T: V \rightarrow V$ defined by $T\left(\mathbf{v}_{1}\right)=\mathbf{v}_{2}, T\left(\mathbf{v}_{2}\right)=\mathbf{v}_{3}, T\left(\mathbf{v}_{3}\right)=\mathbf{v}_{4}, T\left(\mathbf{v}_{4}\right)=\mathbf{v}_{1}$


Similar Solved Questions

5 answers
0)equation 3 differential 4) the to solution 1 general the fz ~ Find y" 3.
0) equation 3 differential 4) the to solution 1 general the fz ~ Find y" 3....
1 answers
Normed by IIIl; Prove that for all 4,b € L; a vector space a. Ila ~ bI12 Ilall - Ilbll Ilall _ WVblII < Ila bll b
normed by IIIl; Prove that for all 4,b € L; a vector space a. Ila ~ bI12 Ilall - Ilbll Ilall _ WVblII < Ila bll b...
5 answers
19_ Which of the following matrices has two eigenspaces, one of dimension 1 and the other of dimension 2?1 0 0 2 8020 0 b) B 0 0 0 2 0 2 1 0 0 B 0 2 0 0 2 1 6 0 2 1 0 0 28 1 0 2 0 2 2
19_ Which of the following matrices has two eigenspaces, one of dimension 1 and the other of dimension 2? 1 0 0 2 8 0 2 0 0 b) B 0 0 0 2 0 2 1 0 0 B 0 2 0 0 2 1 6 0 2 1 0 0 2 8 1 0 2 0 2 2...
5 answers
1ptsQuestion 2Find the surface area A of the portion of the plane 7r + 8y + 72 = that lies within the cylinder =1A=Ae"_ 9
1pts Question 2 Find the surface area A of the portion of the plane 7r + 8y + 72 = that lies within the cylinder =1 A= Ae "_ 9...
5 answers
OnmntoMeut % coic uneNntCninal14,917 Cai 17.J21 Au744 JeaiAoAiE0Diantrarte Kelto E7anic77ntRu MJnulte @icrenctcMalnnnoaee Aicicmnd suc-wJasreFe ndGOeeto Fmapzct nt-Eard b tnct 3Duatr DAEunr-OrccMrr e Bvictcn IC [I3a %n iniks s0cz tAu' AittnJjJeullaTomrOAMda kmn&ni"Jui ) Jaanulei = McuisCncm tt01otnt nMun:omAarale (
onmnto Meut % coic une Nnt Cninal 14,917 Cai 17.J21 Au744 Jeai AoAi E0Diantrarte Kelto E 7anic77nt Ru MJn ulte @icrenctc Malnn noaee Aicicmnd suc-wJasre Fe nd GOeeto Fmapzct nt -Eard b tnct 3 Duatr DAE unr-Orcc Mrr e Bvictcn IC [I3a %n iniks s0cz tAu' AittnJjJ eulla Tomr OAMd a kmn&ni "...
5 answers
2t3_1 1) H(t) = 1-etHere is a Desmos graph:0 <X23 =) 1 = 1 - eXPowered Dy desmosa) Identify the zero exactly_ b) There appear to be two critical numbers. Show that there are two critical numbers and, for each critical number, give a small interval containing the critical number. Don't use any technology: Give algebraic reasoning for your analysis.
2t3_1 1) H(t) = 1-et Here is a Desmos graph: 0 < X 23 =) 1 = 1 - e X Powered Dy desmos a) Identify the zero exactly_ b) There appear to be two critical numbers. Show that there are two critical numbers and, for each critical number, give a small interval containing the critical number. Don't...
5 answers
Evaluate the integrals using the inverse trigonometric rules of integration 6/FUN 6C /FUN 6D) Point)25+x3tan-'I5| +C Stan-'Izl + C Jtan-'Iz|+€Stan-'Is/+c
Evaluate the integrals using the inverse trigonometric rules of integration 6/FUN 6C /FUN 6D) Point) 25+x 3tan-'I5| +C Stan-'Izl + C Jtan-'Iz|+€ Stan-'Is/+c...
5 answers
Soru: I1 ve [z bir bolmedeki faz akimlari olmak uzere bir elektrik devre sistemi (2 + f)l1 + (3i)12 = (2 - 0) (1 - i)1i (-2i)lz = (1 + i))seklindedir: I1 ve Iz akimlarini bulmak icin sistemi once reel katsayili sisteme donusturup, elde edilen sistemi Gauss eliminasyon yontemi ile cozunuz.
Soru: I1 ve [z bir bolmedeki faz akimlari olmak uzere bir elektrik devre sistemi (2 + f)l1 + (3i)12 = (2 - 0) (1 - i)1i (-2i)lz = (1 + i)) seklindedir: I1 ve Iz akimlarini bulmak icin sistemi once reel katsayili sisteme donusturup, elde edilen sistemi Gauss eliminasyon yontemi ile cozunuz....
5 answers
A rectangular marine fish tank has the dimensions of 6 m across the front, m wide on the sides and 4.5 m high_ It is filled with sea water 3.5 m high: Sea water has density of 1030 kg/m'.Calculate the hydrostatic pressure at the bottom (base) of the fish tank: Calculate the hydrostatic force at the bottom (base) of the fish tank Find the hydrostatic force on one side of the fish tank_1mark 1mark marks
A rectangular marine fish tank has the dimensions of 6 m across the front, m wide on the sides and 4.5 m high_ It is filled with sea water 3.5 m high: Sea water has density of 1030 kg/m'. Calculate the hydrostatic pressure at the bottom (base) of the fish tank: Calculate the hydrostatic force a...
5 answers
CHz HO 03oh3HO412chzcz5o4n - L H useszL= H0zczCzCzBcH9- 0f3Ko5JOHHoHo3CH303ok
CHz HO 03 oh 3 HO 412 chzcz 5o4n - L H usesz L= H 0zcz CzCz Bc H9- 0f3 Ko 5J OH Ho Ho 3 CH3 03 ok...
5 answers
Graphically represent M if M = 34 _ %B + 2C and given the vectors below:All vectors live in the plane of the board:
Graphically represent M if M = 34 _ %B + 2C and given the vectors below: All vectors live in the plane of the board:...
5 answers
Activity 2Data Table 2Concentration H2Oz3%TrialTrial 2 Trial 3 Trial 4 Trial 5 Trial 6 Trial 7 Trial 8Moles HzOzMoles O2AV (L)005 L.01 L 0118 L .0156 L 0285 L 0242 L 0465 L .0384AirTemperature (KJ Air Pressure (atm)3015 KEquation of the LineGas ConstantPercent Error
Activity 2 Data Table 2 Concentration H2Oz 3% Trial Trial 2 Trial 3 Trial 4 Trial 5 Trial 6 Trial 7 Trial 8 Moles HzOz Moles O2 AV (L) 005 L .01 L 0118 L .0156 L 0285 L 0242 L 0465 L .0384 Air Temperature (KJ Air Pressure (atm) 3015 K Equation of the Line Gas Constant Percent Error...
5 answers
A train moves at a constant speed of 60.0km / h for 40.0min in the direction east, then 50.0degrees east of north for 20.0min and finally west for 50.0min. Which is the average train speed in all this movement?
A train moves at a constant speed of 60.0km / h for 40.0min in the direction east, then 50.0degrees east of north for 20.0min and finally west for 50.0min. Which is the average train speed in all this movement?...
5 answers
DaleNo2 31+ + x" ne~ Findtheradius 0fConvergenteAiso in ter val ofConvergence of th e ser es
Dale No 2 31+ + x" ne ~ Find the radius 0f Convergente Aiso in ter val of Convergence of th e ser es...
5 answers
8. Prove that if {bn} is a sequence of positive terms and bn 76 > 0, then there is a number m > 0 such that bn > m for all n .
8. Prove that if {bn} is a sequence of positive terms and bn 76 > 0, then there is a number m > 0 such that bn > m for all n ....
5 answers
The arerage teacher'$ salary in Connecticut (ranked first among states) is S57,337. Suppose that the distribution of salaries is normal with standard deviation of S7500 Round intermediate value calculations to two decimal places and the final answers t0 four decimal places_Source: New Fork Times AlmanacPart out of > What is the probability that randomly selected teacher makes less than S47.800 per year?P(X < 47.800)
The arerage teacher'$ salary in Connecticut (ranked first among states) is S57,337. Suppose that the distribution of salaries is normal with standard deviation of S7500 Round intermediate value calculations to two decimal places and the final answers t0 four decimal places_ Source: New Fork Tim...

-- 0.017968--