Given a compact set A and a closed set B. ShOw that AB is compact!
Q: 1. (a) (b) (c) (d) (e) Let S = {(1, 0, 1), (1, 2, 1)} in C³, and W = span(S) Find an orthonormal…
A: Given information S= 1, 0, 1, 1, 2, 1 in C3 and W=spanS
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A: Given: Z3. To Do: We have to write x7-x and x10-x as a product of linear factors over Z3.
Q: (a) (b) Let V = F" and let A EMnxn (F), F is complex field. Prove that (x, y) = (4¹x, y) for all x,…
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Q: 3. A. -1 The general i A. y ce+ce +₂² D. y cec₂²0+Ce 4. ( solution of y"+y"-4y'-4y=0 is. B. yce2+₂+…
A: Solution to the differential equation
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A: Q1 asked and answered.
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A: Given that the characteristic polynomial of A is 1-λ22-λ3 with dimKerA-I=1 and dimKerA-2I=2. We have…
Q: ind the general solution for Z_yy +Z=e^(x+y)
A: zyy+z=ex+y
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A: Given: x3+2x+1. To Do:We have to write x3+2x+1 as a product of linear polynomials over some…
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Q: II. Is the matrix B = [100] 1 502 3 0 € M3 (R) diagonalizable? Justify your answer.
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Q: find the general solution for U_xx =xy
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Q: A. y =q₁z+₂√7 D. y=+ 2. ( ) Let Y(t) At+ A₁t+ A, be a solution to y" + 4y = 4² where (A, A₁, A₂) are…
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Q: 3. If is subject to f(x, y) = 7xy x² + y² - 14(x + y) = 49 find a global maximum stationary point…
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Q: 43. Find the equation of the circle circumscribing the triangle determined by the line: x+y=8,…
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A: a
Q: Consider the second-order system: dx₁ dt = -ax₁, dx2 dt = -bx₁ - Cx₂ where a, b, c > 0. What can you…
A: Gven that :Consider the second order system:dx1dt=-ax1dx2dt=-bx1-cx2where , a,b,c >0.
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A: w1,w2,...,wn is a basis of the finite dimensional vector space.
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Q: AB²+ AC² = 2(AO² + BO²) e O is the middle point of BC.
A: Part A
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Q: 1. Evaluate the determinant of the matrix -3 4 P = 2-3 -4 -4 -3-4, -1 -2 3 1 -2 3 12
A: As per the guidelines I am answering only one question at a time. 1] P=12-34-1-23-41-23-412-3-4
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Q: 24. 2 -3 4 T -3 20 0 2
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Q: Suppose that b is a zero of f (x) = x4 + x + 1 in some extension field E of Z2. Write f (x) as a…
A: Given that b is zero of fx=x4+x+1 in some extension field E of ℤ2. To write fx as a product of…
Q: Given a compact set A and a closed set B. ShOw that AB is compact!
A: A is a compact set B is closed
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Q: 46. ty" + (t-1)Y'Y = 0, Y(0)5, Y() = 0. Ans. Y 5e-t
A: As per our guideline we can solve only first question for you. Please repost for another question.…
Q: 2. Let A € M₂ (R) with integer entries. Then A is nonsingular and A-¹ has integer entries if and…
A: A square matrix is said to be non-singular iff determinant of A is non zero.
Q: find the general solution for Z_xx+Z_x +x+y+1=0
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