(1) We have three matrices given as follows: 3 2 -B ) B= 22] - [23] 2 Another two 2 x 2 matrices X and Y satisfy B - DX and BY=Y+C. Compute X and Y (show necessary steps).

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

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A: This is a problem of Improper Integral.

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A: 6. The given integrals are ∬σx+ydσ and ∬σx+y2dσ  where σ=x,y : x≥0, y≥0, x+y≤1 To find: which is…

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A: We have to solve given problems:

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Q: (d) A= 5 10 10 2 ; -5 (e) A = 20]; 10 2 (f) A represents the quadratic form q(x, y) = x² + 4xy +…

A: This is a problem of Linear Transformation and Linear Algebra.

Q: A basis for the vector subspace: corresponds to? s = {(x, y, z) € R³ / x = 3y}

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Q: Proof ) State the Green's formula. ) With the Green's formula, prove that the area of the plane…

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A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: 12 1 If R = and S= 31 0 that R² = 2R+cS. (5 pts) 0 1 find a number c such

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Q: 1. Use Stokes' Theorem to find the portion of the sphere x² + y² +2²=5 inside the cylinder z² + y² =…

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Q: Question 2 Give a matrix A as follows -2-6 0 A = 2 7 0 1 2 -1 a) Find the polynomial characteristics…

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A: Any point on the three dimensional coordinate system R3 can be represented by the point: x, y, z. A…

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Q: Extend the linearly independent Set S={x+1, 2x²3 to the space base P₂ (R)

A: We are given linearly independent set S={x+1, 2x2} and we need to extend it to basis of P2(ℝ)

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Q: 21. Let Ax = 0 be a homogeneous system of n linear equations in n unknowns that has only the trivial…

A: The given question is related with linear algebra. Let Ax = 0 be a homogeneous system of n linear…

Q: Estimate lim 16 4 is approaching to using a table of functional values.

A: We will use the L. Hopital's rule to find the limit of the given function. to find limx→ 4(16x-4x-4)

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Q: What is the estimated revenue of Amazon in 2083? billion US dollars. Round to the nearest billion US…

A: Let us solve the given statistical problem using curve fitting in the next steps.

Q: A≤f^(-1) (f(A)) and if f is surjectivee, .then A=f^(-1) (f(A)) F O то

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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Q: In Exercises 1-4, find a least-squares solution of Ax=b by (a) constructing the normal equations for…

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Q: 4. Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial…

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A: 2. (a) Given,         ∫x-1x5dx

Q: 3. Which of the following are equivalent to Vx: P(x) ^ Q(x)? a. 3x : ¬P(x) V¬Q(x) b. Vx : ¬P(x) ⇒…

A: We need to see what statement is logically equivalent to ∀x : Px∧ Qx

Q: +²2 1. Evaluate L 3x+5-2 (S+2) (5²3)

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Q: (g) A = 10 ; discuss your answer in dependence on the value of the parameter a € R;

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Q: (3) For what value of a the vectors: a = 51 +6j-k and b=2i+(3+a)j- ak A. B = AB cos 90º =…

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Q: 4. The space of 4-by-4 skew-symmetric real matrices can be spanned by a minimum of m matrices. What…

A: 4) The Space of a 4×4 skew-symmetric matrix can be spanned by a minimum of m matrices. To find: The…

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Q: 6. Find the volume of the torus generated by revolving the circle x² + y² = 4 about the line .x = 3.

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Q: • Given the laurent series of f(x) = f(x) = 2 f (2) = 2 n 4 +7 (6)" (2-8)" *Pes (£(₂), 2+1) is: for…

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Q: The limit lim (n+1-vn- (A) equals-x (B) equals 1 (C) equals ( (D) equals +∞ O(E) does not exist

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Q: 3 Let A = . Find, 4 1 a) Find the eigenvalues and eigenvectors of A. b) Verify that det(A) is the…

A: Let A=2341   (a) To Find: Eigenvalues and eigenvectors of A   (b) To verify: det(A) is the product…