(12 4 A= 2 13 23 4 23 77 2 b= 4 2 b) a) Show that the matrix A is positive definite. Find the Cholesky factorization A=GG¹. c) Solve the linear system Ax=b.

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A: Given the matrix, C=9-10-10-20-29-29-1

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A: The inverse of a function f is a function that undoes the operation of f.

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A: In this question we have to find the amount which is loaned out at 8%.

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Q: Show that A + AT is symmetric for any square matrix A.

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A: Given: (6,10]

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A: We use logarithmic properties:- logamn = n loga(m)  aloga(b) = b   logaa = 1 If loga(x)=y then x=ay

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A: This question can be solved using the concept of quarterly compounding.

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A: We have to solve the given formula for finding t.

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A: Given, f(x)=2x+4g(x)=x-1

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A: Here we have to find the initial deposite.

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A: The given differential equation is;  (x4y4+x2y2+xy) y dx +(x4y4-x2y2+xy) x dy=0.

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A: This question can be solved using the concept of functions.

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A: Given the matrix,M=12134-119+k120

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A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

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A: Solution of given question is written in below steps.

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A: The given vectors v1=24-5-10 ; v2=-111513 ; v3=13103

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A: Given :A=222023771

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A: This question can be solved using the concept of linear equation in one variable.

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A: Here, the given vectors are 1,1-t, 2-4t+t2, 6-18t+9t2-t3

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Q: Question 1 Find the value(s) of y such that the vectors u₁ = and u₂ = are parallel. a b) Find the…

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Q: Simplify the rational expression O A 11x²² 23 OB 121x²y³ 253 O c 11x³y³z 23x³ yz D 12x²y 121x²y³z…

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Q: } p15 16 M(x) = x²³and n(x)=√4+x find the four neturnal valve if pomble. [M](4) UNDEFINED N.

A: Given.