1 6 [: 2. Let %3D matnix c (by tnial and erron) Constauct a C (by tnial and eror using anly !,-1 and 0 entries such that as note that AC713 CA = 12, Compute AC and

Q: The minor Mij is the same as the cofactor Cij if (i + i) is even. O True O False « Previous Next

A: We want to find correct option.

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: 1. Let A= B = and C = 4 0 05-2 -6 5 -2 2 and 3 =. Compute the following (a) A+B (b) B' +C (e) C (d)…

A: Introduction: When we change the rows of a matrix into columns and columns into rows, as a result,…

Q: Without doing any calculations in Aut(Z105), determine how manyelements of Aut(Z105) have order 6.

A: Given: Automorphism, AutZ105To find: Number of elements of AutZ105 having order 6.

Q: Two students are named to present their work from a class of 12 students: 5 from electrical…

A: Total = 12 students Electrical = 5 students Telecommunication = 4 students  Computer = 3 students

Q: Po fo 22 PE 1(1234)=PP 13)29 pz pz (1432) = p3 p3 pir %3D 12)(34) = E to C13) = pE PE For each…

A: Group D4 is the group of symmetries of the square. Through various rotations, set D4 is formed. In…

Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: -64m12+ 24m10 1) 4m

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Q: ²*6²²y dy) dr 3

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Q: 2. Assign Hermit's interpokting tolynomial by The fallowingy da ta:

A: The Hermite's interpolation polynomial is H(x)=∑ui(x)⋅yi+∑vi(x)⋅yi'. Here…

Q: Find the set of ordered pairs (T0, Yo) for which Picard's Theorem guarantees that the IVP y ry %3D y…

A: Given,            y'=xyx+y, y(x0)=y0

Q: 1S) Solve coax=co 2x over [0,27) in saiana!

A: Explanation: Given that,                            We use the identity of cos2x…

Q: 7. 2) Write the difference equation for the systems shown below. ii) Find yon) / xen). yon) x(n) 3…

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Q: 23) -4V192X 25) -4V216xy'z

A: Given query is to simplify the expression.

Q: Evaluate the following integral equation as indicated per item. Indicate the identity used for each…

A: Introduction: Differentiation and integration are the two most important operations in Calculus. We…

Q: Let A = = [42] Therefore, to find λ, we need to go through the following steps: der (A-2)=0 det…

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Q: x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B.…

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Q: 2.)S csc-³«(cosa)³da

A: Given ∫csc-3 α (cosα)3dαTo evaluate the integral:

Q: Use the equations aF OF az ax az ay and ax OF ду OF az az az az and ax to find ду 5yz + 8x In(y) = =…

A: F=5yz+8xln(y)-z2∂F∂x=8ln(y), ∂F∂y=5z+8xy, ∂F∂z=5y-2z∂z∂x=8ln(y)5y-2z, ∂z∂y=5z+8xy5y-2z=5yz+8x5y2-2zy

Q: 4. If x = cose + isin0 & 1 + V1– a² = na then prove that 1+ acose =(1+ nx)(1+) %3D 2n

A: Given, x= cos θ+i sinθ and na=1+1-a2      To prove:  1+a cosθ=a2n(1+nx)(1+nx)       Let  x=…

Q: 1 1 Prove that: L' a exp(a't) erfe( avt), where erfc is complementary a+v error function.

A: Formula Used:- L1t=πsLeat=1s-aLerf(at)=as(s+a)Leatf(t)=F(s-a)                   where…

Q: Let Var(X₁) = Var(X3) = 2, Var(X₂) = 3, Cov(X₁, X₂) = 2, Cov(X2, X3) -2, Cov(X1, X3) = -1. i)…

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Q: Linerje the mon- liven ie the rgin *T/タテノ

A: Given: A non-linear equation, z=x2+xy+3y2 We have to linearize this equation in the region, 2≤x≤3…

Q: Q6 : find 1) j(1 – jv3)(v8 +j) 2) (1+j)(1– j/3)² 3) cos-1(2)

A: (1) j(1-j3)(8+j) Use the property (a+b)(c+d)=ac+ad+bc+bd in the expression (1-j3)(8+j) and…

Q: in(Zg++s)indeyclic grauf2enerated by I, Z,3

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Q: 6. (6x – 15)' (2r+ 1)

A: To find x ?

Q: 3. 43 Let A= Find nullity A") 1 8 --3 0 5

A: Nullity of a matrix : Let A be a matrix then  dimension of the nullspace of A  is called the nullity…

Q: -1 1 0 B 2 4 4 0 3 2 1 1. Let A= and C Let a =4 05 -2 -2 -6 5 -2 2 and 3 = Compute the following

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Q: 1.) (2a* –be)(ša² +3bc) (x*y-5z')(x*y–42*) 2.)

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Q: 16) fueluete Sx Jx+3dx 4) 리/5(x+3)기2 -2(x+3)12+c 6) /5(x+3}51z . "/s (X+3)"z + C XJX+3 dx S/2 312 6)…

A: The given integral is ∫xx+3dx.

Q: 2) Let A = 3 Find the valuebs of k such tht A is noniugulo Al erists. (a) Column Compute the first

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Q: Let f(P) =f'(P) =f"(P) =f"(P)=D0 and f(4)(P) = 1 and f5)(P) f6(P)=0 and f(7)(P)= 0. Then the…

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Q: 6. so be it r = 3xi + yi – 2zk and f (r) : -- where |r| = r find all of grad(f) and div (-)

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Q: Let A = --4 det 1 -3 det (AA)=0 λ = -4 2 1 ( ³1-[i]=0 -4 2 Check -3 Fill the following boxes: 1²_…

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Q: R^n×n is invertible, show that AB is similar to BA for all B ∈ R^n×n.

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Q: ) find w=4 +iv if the function. in term of 2 is f(z) = (Z-32²) (2z+i)

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Q: 4. Let X1, ,X4 be iid Unif(0, 0). (a) Show that X(4) is independent of X(1)/X(4). (b) Show that X(4)…

A: Given that X1,X2.............,X4 be iid Unif0,θ (a) X4 is complete sufficient statistics and…

Q: %3D Con

A: Given, a function f : ℝ2→ℝ define by                                               f(x, y,…