Why vector of algebra related in maritime industry
Q: In the notation of Example 7, show that d(xy) = d(x)d(y).
A: The function d is defined as, da+bi=a2+b2 To Prove: dxy=dxdy.
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A: As per the question we are given two unitary matrices Q, U and we have to show that Q-1 , QU are…
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A: As per the question we know that the reflection across a line L in ℝ3 is the isometry that takes…
Q: Let p be a prime such that p mod 4 = 1. How many elements oforder 4 are in GF(pn)*?
A: Given: Let p be a prime such that pmod 4=1. To Find: Number of elements of order 4 in GFpn*.
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Q: Find a fundamental set of solution for the following system of differential equation. x' = 12x + 2y…
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Q: Give an example of a unique factorization domain with a subdomainthat does not have a unique…
A: To Give: An example of a unique factorization domain with a subdomain that does not have a unique…
Q: irst part of question is that Find the locus of a point such that the sum of its distance from the…
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Q: The functions 1, cos x, sin x, cos 2x, sin 2x, ... are a basis for Hilbert space. Write the…
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Q: 2. Determine polynomial all possible Jordan Canonical Form of A if the characteristic is given by…
A: Given: The characteristic polynomial of A is ChA=1-λ22-λ3. We have to find all possible Jordan…
Q: What do the Sylow theorems tell you about any group of order 100?
A: Let G be the finite group. Let p be prime dividing G. Consider G=pkm with k≥1 and p does not divide…
Q: Given a compact set A and a closed set B. ShOw that AB is compact!
A: Given Data: Let us consider the given data, A is a compact set B is closed. To show that : A∩B is…
Q: Calculate all conjugacy classes for the quaternions
A: To Find: Conjugacy classes for the Quaternion group.
Q: Examples 2 then 2: Prove: If If x<y <y+v. x + M and u<v
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Q: 4. Find a basis for the vector space of all symmetric 3 x 3 matrices.
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Q: Find the eigenvalues and eigenvectors of the linear transformation T: R² R² whose matrix relative to…
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Q: A linear transformation Tis determined when we know T(i), T(j), T(k). For an affine transformation…
A: As per the question we are given the following statement : "A linear transformation T is determined…
Q: Let α be a zero of f (x) = x2 + 2x + 2 in some extension field of Z3.Find the other zero of f (x) in…
A: Given: α is a zero of fx=x2+2x+2 in some extension field of Z3. We have to find the other zero of…
Q: Consider the equation: 2sin(x) +2cos(x) = ² + x³ 1. Find the fourth approximation x, of the root in…
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Q: Calculate the maturity value of a simple interest, 6-month loan of $2000 if the interest rate is…
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Q: Prove the statement using the ε, ? definition of a limit.
A: As per the question we are given the limit : limx→3 x2 = 9 And we have to prove it using the ε-δ…
Q: You are given the following system of equations: x1 - 2x2 + 2x3 = 1, -3x1 - x2 + x3 = 4, x1 + 5x2…
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Q: Miscellaneous limits Use the method of your choice to evaluate the following limits.
A: As per the question we are given the bivariate function f(x,y) = (2xy)xy and we have to find its…
Q: Example 2.30. Let X be a set and p the discrete metric. Then for every ECX, the set E has no…
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Q: Suppose that p(x) is a quadratic polynomial with rational coefficientsand is irreducible over Q.…
A: Given:px is a quadratic polynomial with rational coefficients and is reducible over Q. To Show:px…
Q: Determine whether the relation is a function. Identify the domain and the range.…
A: Here, we have to determine whether given relation is function or not, and also we have to find…
Q: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…
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Q: According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass…
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Q: Which of the following is the general solution of the difeerential equation d'y dy -2 + 5y=0? dx2 dx…
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Q: a Let +(x=x++(x-1 O If 100 And x=x++ (x-1) for all x in R then find the value of
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Q: Suppose that f (x) and g(x) are irreducible over F and that deg f (x)and deg g(x) are relatively…
A: Given: Two polynomials f(x), and g(x) which are irreducible over F. deg(f(x)) and deg(g(x)) are…
Q: 1.Find an LU factorization of the matrices of following 1 4 -1 5 3 7-2 9 1-4 6-1 7 -2-3 ช
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Q: mathematics
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Q: Determine whether or not the set is linearly independent over Zg.
A: Given set is S=2110, 0112, 1111 over Z5. We have to determine whether a given set is linearly…
Q: What are the three equations for A, B, C if the parabola y =A+ Bx+ Cx2 equals 4 at x = a and 5 at x…
A: As per the question we are given a parabola as : y = A + Bx + Cx2 which equals 4 at x = a and 5 at x…
Q: In Z[V2] = {a + b/2 1 a, b E Z}, show that every element of the form (3 + 2V2)" is a unit, where n…
A: Given that, ℤ2=a+b2/a, b∈ℤ. To show that every element of the form 3+22n is unit where n is a…
Q: A 4x4 matrix A has a Rank 4. The matrix A has 4 linearly independent vectors has the set of vectors…
A: The given problem is to find the properties for matrix A for having the rank 4 and also to find the…
Q: TRUE or FALSE. Justify your answe swers concisely. 1. If A € M₂, (C) then A* - A is Hermitian. 2.…
A: As per the question we are given the following statements and we have to justify whether they are…
Q: 2. y = C₁x² + C₂e²x + С3e³x 3. y = C₁x³ +2² x y-ex(C.cos2x+ C-sin? x)
A: We have to eliminate the arbitrary constant from the given equation y= c1x2+c2e2x+c3e3x and y=…
Q: 1. For 0 ≤ t ≤5, where t is measured in hours, the rate at which wheat is delivered to a holding…
A: Part (1):- Given information Rate at which wheat is delivered to a holding area of a meal is…
Q: If α and β are real numbers and α and β are transcendental over Q,show that either ab or α + β is…
A: Given that α and β are real numbers and α and β are transcendental over ℚ. We have to prove that…
Q: Find the splitting field x4 - x2 - 2 over Z3.
A: In mathematics, a splitting field is a field extension that contains all of the roots of a given…
Q: Given P(A) = 0.37, P(A and B) = 0.14, P(A or B) = 0.58, what is P(B)?
A: We have given that P(A)=0.37 , P(A∩B)=0.14 and P(A∪B)=0.58Since we know that…
Q: Prove that π2 -1 is algebraic over Q(π3).
A: We have to prove that π2-1 is algebraic over Qπ3.
Q: (a) Find the eigenvalues of the matrix of projection onto the plane x+2y+3z = 0 in R³. (b) Find the…
A: Note : As per our Guidelines we can solve first part as your part is not small. please repost…
Q: Let : [0, 1] CR→ C be a parameterized curve. What does represent in each case? (a) (t) = i + it (b)…
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Q: Theorem 2.1. For n ≥ 1 we have Σμ(α) d|n 1 -W-{ = 0 = if n = 1 if n > 1.
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Q: The area enclosed between the curves y2 = 4x and x² = 4y is 32 16 3 3 (b) 8 (c) (GATE-09 (d) 16
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Q: A given distribution has a population mean, μ, of 108 and a population standard deviation, σ, of 12.…
A: To find the raw, x-value associated with a Z-score of -0.95, we can use the formula: x = μ + Z * σ
Q: Verify that each of the sets in Examples 1– 4 satisfies the axioms fora vector space. Find a basis…
A: The given set Rn=a1, a2, a3,.....,an|ai∈ℝ is a vector space over ℝ. The operations are, Vector…
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