The generally polynomials are of the form Select one: a. b. O C. d. an" + an-x-1 + ... + aix+ ao anx"+an-1x²-1 + ... + aïx + ao Anx² + An-1x²−1 + aix + ao anx + an-1x² + ... + aix" + ao

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A: The best solution for x is x = AT A-1 AT bThe QR transformation of A is A = QR, where Q is matrix of…

Q: 4. There are no integers a, b such that a² + b² = 3 mod 4.

A: We will make the cases to prove it

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Q: Hi I was looking for this to be expressed as a symmetric matrix

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A: We solve it by eigenvalue and eigenvector method.

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Q: Use the Fundamental Theorem of Arithmetic to prove that the 7th root of 12 is irrational.

A: Given : Fundamental Theorem of Arithmetic . To show: 127 is irrational .

Q: 6. Use row operations to reduce the mats product of pivots.

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Q: .ㅠ dx 8"(x + 1) e³x

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A: Introduction: Let us have two series Σan and Σbn, where an>bn and let c=limn→∞anbn. Then, If…

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A: By Greens theorem ∫C[Pdx+Qdy]=∫∫R[∂Q∂x-∂P∂y]dxdy, where R is the region bounded a simple closed…

Q: Eliminate the parameter and describe the shape of the curve: :=√√x+4; _y=3√t; for 0≤t≤16

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Q: 2. a) Show that of all rectangles with a given area, the one with smallest perimeter is a square. b)…

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Q: 3. Let As and let b (a) Use the Gram-Schmidt process to find an orthonormal basis for the c…

A: Here, part (c) is related to problem 1, which is not given here. So, only parts (a), (b) answered

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A: Given system of linear equations:-2b+8c=103a+12b-9c=-99a+34b-19c=-16

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Q: 302 If the matrix of change of basis from the basis B to the basis B' is A-2 0-2 then the second…

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Q: Which of the following maps from R3 to R3; are R-linear? f(x, y, z)=(x-1, 2y + 3, z) O f(x, y, z) =…

A: To identify linear map.

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Q: Consider the Euclidean inner product space R³ with a basis B = {(1,1,1),(0,1,1),(0,0,1)). Find an…

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Q: -60 -80 0 20 40 60 80 100 1) Write a differential equation describing this system. This implies that…

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Q: 5. Suppose f, g:D-R are both continuous and define h: D-R by h(x) = min {f(x),g(x)}. Show that h is…

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Q: -1 A-34] 1 Let A = 5 Find vectors X1, X2,. X; so that N (A) equals span {x₁, x2,...,xj}. ..y

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Q: A = -27 32 -18 8 -8 5 -24 23 -18 Recall that for x € C, e^x= Σæk/k! = 1+x+x²/2! + x³/3! + ... k=1…

A: Given matrix is: A=-2732-24-1823-188-85 Using ex=∑k=1∞xkk!=1+x+x22!+x33!+ . . .  we will define…

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Q: prove that √2+√5 is not a rational number

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A: Given Data: 1. Total number of empty seats =275. 2. The cost of United Continental, American, and…