The Cholesky factorization of 53 is UTU where U is: 3 2 V5 5 -3 V5 1 3. 0 1/5] V5 5 3 0. 1

Q: (-1)"2" /ñ Prove that if m is a positive interger, 1'(-ni +3) =1:3.5...(2m – 1)

A: I will use method of induction to prove the statment.

Q: Let p(x) = x³ – 2x + 4 and compute p(A). 1 A = 0 -4 4 NOTE: Write the elements of the matrir…

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Q: 2. Find p and q such that 7x+1 5 |5x-1|≤4 implies p ≤: <q

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Q: The value of the twiddle factor w, 8 O 0.707+0.707i O -0.707+0.707i O 0.707-0.707i O -0.707-0.707i

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Q: 3. 'N M2CAN = 18x - 1 MZMAT = 15x + 20 Find the following: M2CAN = MZMAC = MZTAN = MZMAT = MZMAN =

A: Adjacent opposite angle are always equal so equate both and get the x value. Then put the x values…

Q: 3. Prove that {12a + 4b |a, b e Z} = {4c\c € Z}.

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 1. Find the 5roots of z1 = -V3+iv3. %3D

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: Use the given LU factorization to find all solutions to Ax = b 0 5 1 0 0 15 A = 4 1 0 0 -2 |, b 54…

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Q: Show that A = has two different factorizations of the form A = L · U where L is lower triangular…

A: Given: A=0001. To show: A has two different factorization of the form A=L·U, where L is lower…

Q: 1S prove that (a + b) = a² + b².

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Q: 1] Let X,YER. Prove that VxVy(4x+9y>9⇒(x>5/4 Vy> 4/9)) using method of indirect proof.

A: Prove that ∀x∀y4x+9y&gt;9⇒x&gt;54∨y&gt;49, where x, y∈ℝ. Prove the statement using method of…

Q: Zl is comp. to ZM 2 is comp. to ZM Z1 = 22 Given: Prove: M R 2.

A: Given,      ∠1 is complementary to ∠M    and     ∠2 is complementary to ∠M  ⇒ m∠1 + m∠M = 90   and…

Q: Show that ZV-6 is not a UFD by factoring 10 in two ways. Why does this prove that Z[V-6] is not a…

A: Given, Z-6 is not a unique factor domain.To find:Z-6 is not a principal ideal domain.

Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: (2) Find all the numbers z such that elz = 10i.

A: Consider the given. eiz=10i

Q: Use the Factor Theorem to prove that x + c is a factor ofxn + cn if n Ú 1 is an odd integer.

A: To prove the given statement.

Q: Prove that x4 + 15x3 + 7 is irreducible over Q

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Q: 1. Given that r + px+q and 4x +q have a factor (x-r) where p,q and r are non-zero. Show that 4p…

A: topic - quadratic equations

Q: Find d = gcd (270, 105) and hence find integers x , y such that d = 270x +105y .

A: GCD stands for greatest common divisor for two or more numbers.

Q: & Gier, Mamiten 3. - 2 -4 -6 12 15 3 -12 3 ID 2. ーC 4 6. 4 15 4x 5 5x3 No.of Column A No.of mws in B…

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Q: Attached is the question I'm needing help with. Thanks in advance!

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Q: 9. If z = 2/2+3V3i and z2 = 5V2 +4V3i, compute Re)

A: We have to find the real part

Q: Prove that 1 (c) 2F₁ (a, b; c; z)

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Q: 10. Prove that Z has no smallest element.

A: we will prove it by contradiction, Suppose x belongs to Z  is the smallest element.

Q: Prove directly that no number of the form 4a (8b − 1) can be written as the sum of three squares by…

A: Let us first show that (8b-1) cannot be expressed as a sum of three squares Let us take any integer…

Q: 5 Given: 21 (x + 7)º, L2 = (2x − 3). ZABC = (x²), ZD = (5x-4)° Show that ZABC= ZD. Ĉ

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Q: 2. Show that if x and y are perfect squares (that is, x = m? and y = n2, where m and n are…

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Q: Prove indirectly: "V n E Z, 4 ł (n² – 2)."|

A: Ans:Let us assume that 4/n2-2;∀n∈zthen we have there exist a positive integer k such…

Q: In(z,) + In(-v3 – 1) = In(2) +i %3D

A: Answer

Q: Q3/A/ Prove that ) + ",) = C). %3D إضافة ملف

A: As per our guideline we are allowed to do 1 question at a time. I think you hav already done 2…

Q: prove for n=l,2,3. e that +2+3+..+h = ncn+l) 2. %3D %3D

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Q: 1 Use convolution theorem to evaluate L-1 (s²+9)²)

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Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

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Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

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Q: b) Prove or disprove: Z10 ~ Z5 x Z₂.

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Q: Consider a LU factorization of 3 A = 6 as A=LU. Then L2,1 and U1,1 are respectively equal to

A: solution:-

Q: 共9. L is a Uxb matrx, so the rank of Lis at most: Al I B) 2 c) 3 D)4 E) one

A: L is a 4×6 matrix.

Q: - Expand: (2p –q)° | 9. Expand to four terms: (x2 – 3y) °

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Q: (ii) A = 82 + &V1+ 4

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Q: Q1) Compute the products using the definition as a linear combination. 8 3 -4 1 2 1 5 1

A: As per the definition of linear combination abcdef.x1x2x3=x1.ad+x2.be+x3.cf

Q: 4.By applying the Convolution Theorem to calculate L-1 is obtained: Determine the value of (a+b): a…

A: We have to find the solution.

Q: Estimate the value of f2 (1 – x-4x + 2x) da using 4- segment Simpson's 1/3 Rule. O 1144.5 O 2146.7 O…

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Q: use the convolution theorem to find L'{2+1 -1 4 Specifically s²(s²+1)

A: Given,        L-14s2s2+1=

Q: 10. Suppose that A in has the SVD A= USVT Use this factorization to solve Ar =

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 4. Find the dual of the following LP: max z = - 4x1 - X2 4x + 3x2 6 X1 + 2x2 s 3 3x1 + x2 = 3 s.t.…

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Q: 2. Determine the products C = AB and D = BA if %3D %3D 4 61 -7 A = 1 -5 -1 3 -5 2 %3D -9 --13 -4 7 6…

A: The given matrices are A=46−7−51−9−3114×2 and B=−13−52−13−4762×4.