Reduce to Canonical form Ur + 5 Ury + 6 uyy = 0 None UgE = 0 Uen = 0 = 0

Q: Prove that Eo 2i = 2n+1 – 1 - i3D0

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Q: then also BA 1. . If | )s and | )u are the Schrodinger and Heisenberg states of a system, show tha…

A: 8. When the two vectors are in a finite-dimensional  vector space then, AB=1, as considering the…

Q: 5.18 SHOW that AUB = (A |B)UB 5.17 If AUB =U. Show that %3D

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 86. Show that Z, = r(cose + isine) and Z2 = r[cos(-6) + isin(-6)] are conjugates. %3!

A: Given,

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Derive the canonical form of the given parabolic PDE (b) - 3u. +64.- 3u = cos(x).

A: given 2nd order PDE -3uxx+6uxv-3uyy=cosx   ...i claim- to derive the canonical form of given PDE

Q: () = 2 sec(a O conon1 O pton 2

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Q: 25. If mRU = (16x - 13)', mSE (11x - 24)', and M2STU = (3x + 1)', find mŠU %3D Iex-13. mSU=

A: By visuals, we can say that RS is diameter in this circle.

Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: 9. (3 Points) 4 Given A= Al then it is: 6- None of the given choices Symmetric O Orthogonal…

A: The correct option is : None of the given choices.   The detailed solution is as follows below :

Q: Convert the differentral equatim into e S and Save nhe System: (20-70-4y)%3D0

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Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

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Q: 1 the equation of th um joining (-4, 1), (

A: The latus rectum joining coordinates ,are  -4,1, 2,1. The length of latus -rectum is 4a.…

Q: (ii) AU(BnC)= (CUB)NĀ. %3D

A: Introduction :

Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

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Q: 1×2° +2x3° +...+ux («+1)' _ 3u + 5 1° x2+2° x 3 +...+u² ×(« +1) 3n +1 +u X Зи + 5 Show that

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Q: Reduce to Canonical form Ur +5 ury +6 uyy = 0 %3D ミn= 0 3D0 =D0 None UgE =0

A: First option is correct.

Q: Let Xvuniform(0,8) then E(x-2)

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Q: GL (3,2,), the iilan of the mverse 63 is:

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A: Since you have asked multiple questions, we will solve the first question for you. To get the…

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A: Given Data: The triangle is △TUV. The congruent sides are: VT¯≅UV¯ The measure of angle U is:…

Q: (a) /3yin In (g) dy

A: First remove the constant and then substitute the formula by integrating by parts and then simplify.

Q: (b) State Heine-Borel Theorem.

A: (Heine-Borel Theorem). A subset A of R is compact if and only if A is bounded and closed (with…

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A: Answer

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Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

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A: for a basis we need to check that a set must be linearly independent and spans the whole vector…

Q: b) Verify uxy = Uyx , if u = In /x² + y² . %3D %3D

A: Consider the given function. u=lnx2+y2 To verify the equation, find the derivative first with…

Q: Find the all 7 principal minors (PMs) of (I- A)

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Q: Reduce to Canonical form UTr +5 Ury +6 Uyy %3D

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Q: Use DeMoivre's Theorem to find the following. Write your answer in standard form. V2 cis- 20 O…

A: Given (√2cos(9π/20))5

Q: Solve (y(1+1) + coxy) dan + [n+lope-nsmy] =

A: 25. The given differential equation is                                     y1+1x+cos ydx+x+log x-x…

Q: Of length I1, tien 50) Show that S is generated by ((1, 2), (1, 2, 3, - · , n)}. [Hint: Show that as…

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Q: Compute Cixj)xk and un h Find patro of he pMane gog ingi (-i, novmetit tj 4K

A: The equation of the plane passing through the given point and perpendicular(normal) to the given…

Q: 4-5. Evaluate the Integral 31) dt

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Q: True or False   Consider the following model, Yi = β0 + β1Xi + ui,E[ui|Xi] = 0,i = 1,...,n…

A: Solution: As per the guidelines first three parts should be answered.

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Q: consider fixi) = %3D show that trany2 eloes net suhsty kipschifzconchition elo muiswechenclndes ino…

A: 3

Q: 1. (a) Let 5 -6 -6 B = |-1 4 2 3 -6 -4 Find oigon nigon un imil to D

A: To finding the eigenvalues and eigenvectors to the given matrix we use Gaussian elimination method.…

Q: Find the first devdivative 2. 2. u = x2+ 2 ut1 %1 ).

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Q: a. Let z1 = 2 – 3i, z2 = 3 + 4i and z3 = 1– V3i. Find z1z2 + z3 then sketch it on Argand diagram.

A: Simplify Z1Z2 + Z3 in simplest form and convert it into polar co-ordinates.

Q: 3. C-1) " Conditionally absolutely codvergent divergent. Con vergent, 2n+ Sinin) or

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A: Given that: cosθ=-817

Q: Use Superposition approach to find the genral solution of the following equation: у" — 2у' + 3у - -6…

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A: Given:

Q: Consider x1 = (I11, F12)" and x2 = (12n,I2)". Let x = (x}, x})T and IPPP 1 P P Cov(x) = PP1p PPP1…

A: The  first pair of canonical variables, or  first canonical variate pair is the pair linear…