Can the sum of divisors of zero be an invertible element?

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: 1. Explain why Corollary 1 of Theorem 9-7 is true. That is, explain why L1 = L2.

A: Given that ∠1=∠2 is true statementsHint: Major arc; Minor arcand…

Q: Find the global max and min of (4x +1)/(x+2) on [-1,4]

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Q: give 4 real life examples of bijection

A: A function f: A to B is said to be bijective if it is  both one to one  and onto. A function f: A to…

Q: Compute the entry in the second row, first column of AC.

A: Given, A=9-804-45-89C=858-87220-8-1-75

Q: Show that Q(√7, i) is the splitting field for x4 - 6x2 - 7.

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Q: (List all irreducible polynomials of degree < 2 in Z3 [x].

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Q: (b) 1 = -4 - 4- 2.

A: Given that

Q: Show that A= 4 * eye (4) - ones (4, 4) is not invertible: Multiply A* ones (4, 1).

A: We have to show that:  A= 4 * eye (4) - ones (4, 4) is not invertible

Q: Use Cramer’s rule to solve x1 + 2x2 + x3 = 5 2x1 + 2x2 + x3 = 6 x1 + 2x2 + 3x3 = 9

A: Given,x1 + 2x2 + x3 = 52x1 + 2x2 + x3 = 6x1 + 2x2 + 3x3 = 9We have to use cramer's rule to solve…

Q: Show that Ax)=3x²-1 and g(x)=35x*-30x²+3 are orthogonal to each other on [-1, 1].

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Q: Suppose A=| use Diagonalization to compute A" 10

A: In the given question we have to find the 10th power of the matrix A s.t A=10-12. Concept: If a…

Q: Find out if it's divergent or covergent; Evaluate if covergent.

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Q: Compute for 4+ 3X {(-2,-1,0} (X)+ X²I{1,2,3}(X)

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Q: If all the cofactors are zero, how do you know that A has no inverse? If none of the cofactors are…

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Q: Which term of the expansion of (z + 4) contains z Term number contains z4.

A: Given expression is: (x4+4)16

Q: Prove Theorem 11.3

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Q: If (a] € Z/mZ is invertible, is [-a] invertible? If yes, prove it and say what the multiplicative…

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Q: Verify that there is no magic square of order 2.

A: We will verify that there is no magic square of order 2 using the proof by contradiction.

Q: B. Use Cramer's Rule to find the solution to 2x1 + x2 + x3 = 2x1 – 3x2 – 3x3 = 3 - - -2x1 – 2x2 +…

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Q: 2. Transform this LP into its DUAL counterpart. min 3x, + 2x2 - X3 subject to X1 + x2 = 5 -1 < x, <…

A: Transform this LP into its DUAL counterpart. Our problem can also be viewed as,   MIN  3x1 + 2x2 -…

Q: Show that Q(√7, i) is the splitting field for x4 - 6x2 -7.

A: x4 - 6x2 -7 = x4 - 7x2 + x2 -7                   = x2( x2 - 7) + 1 ( x2 - 7 )                   =…

Q: Formulate the Fundamental Theorem of Algebra.

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Q: State the Fundamental Theorem of Algebra.

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Q: Explain why it's possible that (UTV)" = v™U. Base your answer on the dimensions of the products. %3D…

A: We are entitled to solve only one question at a time, so I am providing you the solution of first…

Q: Determine the dbman of ACe)= 3x5 GxZxt

A: To find: The domain of the function fx=3x5-6x3+2x-1. Concept used: Domain: The domain of the…

Q: Compute/x²dx 2. using trog

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Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

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Q: Express 1-V3i in modules amplitude form

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Q: Express 3 cis 133.8° in standard a + bi form.

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Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Q: Find the value of MZACD.

A: Given,            The figure of a square ABCD is shown below :

Q: Prove

A: To prove  tanxcosec2x-tanxsinxtanx+cosx=cos2xcosecx

Q: Find another representation in which '(2;)" a. ris negative and o<e < 2n b. ris positive and -2n < 0…

A: The point is r, θ=2, π3

Q: List all cosets of (([1]3, [2]6)) in Z3 × Ze

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Q: Show that I (x) = 2x - 18 is invertible. What are the domain and range of 1- 1?

A: Ix=2x-18 Now let, y=2x-18 Now to find inverse function interchange x and y, then solve for y in…

Q: Show that form.

A:

Q: Express in the form a+ bi. -21

A: Our Aim is to express 51+2i-(i) in the form a+bi

Q: وسلام ax x2 ل ے- ل

A: Given :∫-4-2dx-x2-6x-5

Q: Produce an example of a subset of 1R³ that is Closed under addition, but not closed under scalar…

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Q: How can I find all monic divisors of degree 1 in Z_7 [x], 5x^2+5x+4? please help me get started with…

A: Set of all Polynomials over a field ℤ7 is given by ℤ7x=anxn+an-1xn-1+ . . . +a1x+a0  where a0,a1, .…

Q: image

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Q: Express x8-x as a product of irreducibles over Z2

A: We have to express x8-x as a product of irreducible over Z2. Definition:- Irreducibility is defined…

Q: Let a = (7, 5) and b = (-4, 6). Compute the dot product.

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Q: Prove the property of cross products: av(btc)=(axb)+ caxc).

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Q: Must be in a + bi format

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Q: Use DeMoivre Theorme to expand answer into a+bi form

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Q: (a) Prove that the product of two even permutations is even.

A: please post the multiple question separately. Here I answered 1st question only as per our policy.