nd A’A and AA'. -1 1 4 A = 2 0 2 (a) ATA (b) AAT 18 6 hich of the products are symmetric? (Select all that apply.) ATA - AAT

Q: у — Ту %3D 14х 7

A: Given; y'-7y=14x y'+x2y=x2

Q: Let B = { [ 2], [ %]} If x- [% ], find [x]B be a basistör IR

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Q: Solutions, if they exist, of equations of the form a,n (x)y(n) (x) + an-1(x)y(n-1)(x) +.. + a1…

A: Solution is in given below

Q: (2) Area of Triangle A=11* Of Triangle formed by V' and W in es =√6 A (11012) BC21014) ((|12₁k)|…

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Q: 7 and B: 8-4 %3D -5 2 usina Aand B solve the Rellaning problem. 4x +2 A=-B

A: Given that two determinants of A and B and we find value of X .       Here i attached the solution…

Q: a € ¹ { x² + 0²² 8² + 6² } s2 [sen (3t+ 2u) + sen(8u - 3t)] du Applying the Convolution Theorem to…

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Q: -4z2-4 Let C: |z-1=3 and I = dz. Then z2-1 I=-2nti |=0 (without applying Cauchy-Goursat Theorem)…

A: we use the Cauchy residue theorem to evaluate this...

Q: Triangular wave x(t) = t, 0 < t < 1, T = 2 Ao = 1/2, An= -4/(πn)2 for odd n, Bn = 0

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Q: EXER 3.2 - LINEAR ALGEBRA Write v =(4,4,5) as a linear combination of x=(1,2,3), y =(-2,0,1) and z =…

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Q: -1 €С аnd z -1 -1 * If zeC /{0} then there exists z (х, у) # 0 such that z = 1. Let Z -1 Show that z…

A: The complex numbers follow two basic operations: Consider z1=a1, b1 and z2=a2, b2. 1.)  z1+z2=a1+a2,…

Q: 7 (V3 +4} = - = - 64 (V3+i) 2) Using de Moiver's formula prove that:

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Q: 2-j5) Show that JA -25 (1+j2 \3+j4 = 57 + j24 - 2

A: the given equation is -2521+j23+j4-2-j5-j=57+j24 consider Left hand side…

Q: 1). Let, 2=x+iy *,y€R. In this case, (a). Prove the equations 2-2+2 and a = i.2 %3D %3D

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Q: y-9 a Let | fgf — -4.Find |2a—5х 2b—5у 2с-52

A: here we have abcpqrxyz=-4  R1↔R2 by interchange, the row determinant will negative pqrabcxyz=4…

Q: Q2/ Use the Gaussian elimination method to find v, v2, and vs of 2v, - vz + 30, = 5 -4v, - 3vz - 2v,…

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Q: 2. Solve V'u = 0 for r<1, 0<z< T, u(r, 0, 0) = 0, a7(r, 0, 7) = 0, - u(1, 0, z) = z cos³ 0.

A: It is given that

Q: Minimize C=3L-4K subject to 120=3K⁰.7L0.3. Find L*, K*, A*, C*. Now, Use Bordered Hessian to verify.

A: z =xy subject to x + 2y = 2lagrange function:L =U(x,y) +λ (M-p1x-p2y)

Q: nk 2j ΣΣΣ k=4j-7h=6 = I || first step 2nd step 3rd step 4th step final CTLSWET

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Q: 162%= z3(8A+4C+2D)+zY-6A+: +=(A-6B+4C+2D)+(B-c-D) quating the coefticients, we et 8A + 4C+2D =0 -6A…

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Q: = -2 + 11i, z2 = 2 – i. Showing the details of %3| | your work, find, in the form x + iy: Re (z).…

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Q: Points E, F, G, H, and J lie on 00. H a. mEF 2 and MEHF %3D b. Suppose JH = HG. theorem that…

A: given: E,F,G,H,J lie on OTo find:…

Q: oss product (i+ ej +e-k} × (2i + e'j -

A: We have to find the cross product according to the given vector

Q: Using LU Decomposition Method, determine the roots of the following equation. Explain how the answer…

A: Given the system of equation

Q: huestion 3 Comider two ylindrical restos R and R Ry has a length ofId ad R- while Rhas a lgh of and…

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Q: e grades on a history midterm at Santa Rita are roughly symmetric with \mu = 76μ=76mu, equals, 76…

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Q: (2,–2), (4,4), (5,3) by a CUDIC SPime. 4. Determine constants a, b, c, d and e that will produce a…

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Q: . A dolphin jumps out of the water. Its jump path can be modeled by h = -0.17d + 2.8d. How far did…

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Q: Z₁ = 5x₁-x2 Z₂ = x₂ + 2x₂ x₁ = y₁ + 2y2 - Y3 x₂ = y₁ - y₂ y₁ = 2w₁ y2 =W₁-W₂ Y3 =W₁ - 5W₂ Show that…

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Q: 3. A Find A-I %3D

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Q: Z= 2 + 5j Y= -3 - 3j D= -2 + 6j Find the conjugate of the numbers above

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Q: Make your own 2 example of skewness and kurtosis

A: we study skewness to have any idea about the shape of the curve . Kurtosis enables us to have an…

Q: 19- Co 1 О (х-2)(х-3) a) In2 b) 2ln3 ) In3 d) 3ln2 e) it diverges

A: I = ∫0∞1x-2x-3dx Calculating integral using mixed fractions: ⇒I = ∫0∞1x-3- 1x-2dx⇒I = ∫0∞1x-3dx…

Q: k) Find a Harmonic Conjugate v(x, y) = _ of u(x,y) = x² -y²

A:

Q: 2+13 Evaluate zdz along the following paths- I+i2 (a) horizontally from 1+i2 to 2 + i2 then…

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Q: 82 (1+) V3 – i By using De Moivre's theorem, solve:Z =

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Q: VI APPLICATIONS 1. Solve for the orthogonal trgectories y2= 4x (1- kx) %3D

A: A detailed solution is given below

Q: -4 4 A = Find A-l and use it to solve AX В %3D where B = x = () X = where x1 and x2 =

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: Question. Let z1 =- 1+ V3i and z2 =- V3 – i. Show your work in finding z147 in terms of z334 a + ib…

A: Given:- Z1 = -1+√3 I Z2 = -√3 - I  To find:- Value of (Z1 47 /Z2 34) in form of a+ib

Q: 2. Considering (n- 1)²ux-y²ªuy= ny²n-1 u, n+ 1 %3D (a) Identify the type of PDE. (b) Reduce it to…

A: a) Here,

Q: -3z2-3 Let C: |z – i| = 4 and I = f. dz. Then %3| z2-1 I=2ri |=0 by Cauchy-Goursat Theorem |=0…

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Q: 8 5 -1 6 (2i-j) x Zij i j

A: Given that z=285-167 The objective is to find, ∑i∑j(2i-j)zij The matrix is 2×3 So, the range for i…

Q: Verify that (AB)T = BTAT. 2 4 0 3 A = 1 -2 and B = -1 1 1 STEP 1: Find (AB)'. (AB)T = %D STEP 2:…

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Q: system using Solue bring augmented the matrisc =3 %3D 3y +z =5 3x + 34 +4z= 17

A: The equations can be written in matrix form as 12-1131334xyz=3517. Let A be the 3×3 matrix, X be the…

Q: 3i is a solution of z2 - (1+ i) + (2 + 2i ) = - i %3D

A: False

Q: Verify that (AB)T = BTAT. 2 -2 4 -1 0 A = 1 1 and B = 1 3 STEP 1: Find (AB). (AB)" = STEP 2: Find…

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Q: 1. Isosceles triangle JKL has legs JK and JL, and base KL. If JK = 2x - 4, KL = 3x -12 and JL = 5x -…

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