Supbose A, B and c in vestible matnices , show also invertible AB C is that by baioducing matnix D such that and D (ABC)= I (ABC)D= I %3D ahnises

Q: vdor (2,1,3) be the {1,)1), (1, 2, >).(O, 1, 0)1 be the {ll,),l), (1, 2,3).CO,1, 0)) linear…

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Q: If A is invertable then A is diagonalizable. Select one: O True O False

A: If a matrix A of order nxn is invertiable then it has n disctinct eigen values.  And corresponding…

Q: Grplain why Ž diverges, 27 41 even though has a finite liniit 2 t 2

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Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: Iculate O F- dĩ, where C is the square of (1,1, 1), (–1, 1, 1), (–1, –1,1) and (1, –1,1), with…

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Q: prs is Linearly independent. please prove it. z set A is orthogonal if Por every Xy>X_eA, we have 2.

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Q: nts A and B have symmetry with respect to the ) (9, 2) (х, у) %3D -) (0, 8) (x, y) =

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

Q: What is the Jacobian of a and y with respect to u and v if = u? + 2v and y = u?v? %3D O 2u - 4u²v O…

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Q: Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y+ z + w= 6 .…

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Q: What is the difference in ndahin befween matnx multiplicatin and fensor multiplicahin of two lensors…

A: The tensor product V ⊗ W of two vector Spaces V and W (over the same field) is a vector space,…

Q: Evaluate efffxv xdv,where D is the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

A: Given problem:- Evaluate  ∫∫∫D xdv ,where D is the tetrahedron with vertices (0,0,0), (2,0,0),…

Q: Solve the matnx Xf AX(D+Bx)-CAssume that all matnces are nxn and nvertible as needed.

A: To solve for X

Q: #2. Find invertible matrxes B and C SO C M.B =

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Q: Prove: if z = (V3)/2 + i/2, and %3D then z = i z" = 1 %3D

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Q: Home uork: Let abeQ such that acb. Prove that HxE OK cbx

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Q: A S O Consi der Hhe folhning {(01), (-1,)}, B = [x]e - [;] %3D O find the fransi tion matria from B…

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Q: Give an example of (v1, v2, v3) and (w1, w2, w3) independent se- quences in the R“ such that…

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Q: Let { = fo + ū and 7 = no + ở so that quaternion multiplication gives §n = £ono + £oð + noũ + ữỡ.…

A: are ξ,η are quaternion numbers So, Let  ξ=ξ0+iξ1+ξ0+Iε2+kξ3 u→=iξ1+ξ0+Iε2+kξ3 and η=η0+iη1+Iη2+kη3…

Q: Let v=(-2,3,0,6), find all scalars k such that |kv|=5 LUTION

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Q: Find w such that 2u + v - 3w = 0. %3D u = (-6, 2, 0, 0), v = (5, –3, 0, 1) w =

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Q: Determine it A= 0 3 2 diagonalizable. is 3о9 If find X such that X-'AX=D is diag onal matrux. yes,…

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Q: Cramer kuralını kullanarak verilen denklem sistemini ÇÖzümleyiniz. 2x + 3y + 4z = 53, %3D 3x + 5y –…

A: We have to use Cramer's rule to solve the following system-

Q: Find ATA and AA". 2 0 1 %3D -1 4 2 (a) ATA 1 1 (b) AAT 21 Which of the products are symmetric?…

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Q: 3. Suppose that BE Mxn(C) and B = 0. Show that I-B is invertible. Hint: Consider I+ B+ B.

A: Given : B is an n×n complex matrix with  B3 = O , where O is zero matrix. To prove :  I-B is…

Q: Give an example of (v1, v2, v3) and (w1,w2, w3) independent se- quences in the Rº such that…

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Q: Consider, 21u = 2x – 3y and 21v = -–x+y Find the value of the Jacobian a (x, y) a (u, v)

A: 21 u = 2x - 3y, 21 v = -x + y

Q: O consider A= 2 2 3 is A Diegnalizatle? if yes cateulate the dognal matrin D and invertible malyix P…

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Q: Use Cramer's rule to solve for y without solving for x, z, and w. 5 x + y + z + W = -7 5x + 3y - z +…

A: Here we have to use cramer rule for solving the system of linear equations

Q: Solve the followig 13. BauSsian or Eduss Jordan Using E lemination. 5x, +6x=7X 3D0 3. ース×,+ 3X7…

A: Answer

Q: Find A'A and AA". -1 1 4 A = 2 0 2 (a) ATA (Б) ААТ Which of the products are symmetric? (Select all…

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Q: Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

A: Given Integral equation is y(x)=1+∫01(1-3xt)y(t)dt               (1) The general form of integral…

Q: LZHP - DTNV. Complete the statement below. ZZ = _2_

A: Consider the following condition: LZHP~DTNV Hence, ∠L≅∠D∠Z≅∠T∠H≅∠N∠P≅∠V

Q: Q) Let A be diagonalizable so that P-1AP = D. Show that A2 must be diagonalizable.

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Q: Let ū = 2i – k and ī = i+3j + k. Compute |ū], |T], ū x ī, and Projzū.

A: Solution is here

Q: If A is invertable then A is diagonalizable. Select one: True O False

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Q: pisectors of the $ABE and $ACD Tet ABC is a triongle, D and E are Roints on ĀB and AC, nespectively.…

A: Given a triangle ABC. Some points D, E, F are given. We need to prove an equation. Let's start.

Q: If w = f(u, v), u = x + y, and v = x - y, show that w,wy = w - w?. %3D %3D

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Q: If x = v'u and y = 2uv, show that JJ' - 1, where J is the jacobian of u,v with respect to x and y…

A: We have find the jacobian

Q: 7. Trapezoid ABCD has bases AB and CD. If AC and BD intersect at X, then AAXD and ABXC are ?…

A: Given: Trapezoid ABCD with bases AB¯ and CD¯ and  AC¯ and BD¯ intersects at X. To determine: ∆AXD…

Q: nozmal subgsoup H of ozder 4 of subquoup H of order 4 of Consieles dihedral poove that a Dy= Lasbi…

A: It is known that; Next, we show;

Q: Curl f a vedor point field = xi+ itzk is © 2x it 2yj+2zk 2x+ 24+ 2

A: Curl of a vector field F→=f1i^+f2j^+f3k^ is given by: Curl (F)=i^j^k^∂∂x∂∂y∂∂zf1f2f3 Here .…

Q: given a//b//c  and Bis the mid point of AC.  AB= 2x+3 BC= x+7 DE= 3x+2 Find EF.

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Q: Using Euler’s formula but not using Kuratowski’s Theorem, prove that K5 and K3;3 are not planar.

A: We need to prove K5 and K3,3 are non planar graphs. For that we must use Euler's formula. The…

Q: Exercise i) Calculate gcd(306,657) ii) Find all x, y E Z such that gcd(24,138) = 24x + 138y

A: I have find gcd by basic rule and then used the division algorithm

Q: . Let A- ( 7) B-(: :) and B = %3D 3 For what values of t is 2A+B invertible?

A: The inverse of a matrix A is defined as the matrix A-1, that satisfies the condition AA-1=A-1A=I. If…

Q: IAsa matrx with 10 rows and 3 columns then what are the dimensons of U. D. and v' using the way we…

A: It is given that,A has order 10×3

Q: Exauple- If v=(T') is a contraviurient vecfor, Shew that He Parhil clenivatokes , dehined in each…

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Q: Use Gramer's Rule to Find K,y and Z -y-22 = -8 %3D + 32 = 2 %3D 7X +y+Z = 0

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Find, ∂f/∂u (deltaf/deltau) and  ∂f/∂v (deltaf/deltav) in terms of u and v if, f(x,y)=y/x and and…

A: Find, ∂f/∂u (deltaf/deltau) and  ∂f/∂v (deltaf/deltav) in terms of u and v if, f(x,y)=y/x and and x=…