Home Work No. (2) Solve the following systems of the equations using: (i) Cramer Rule, (ii) Gauss Elimination and (iii) Inverse matrix Method: (1) x - z = 3 y - z = 1 2x + z = 3 (2) 2x + y – z = 2 x + z - y = 7 z + 2x + 2y = 4 (3) x + v + z = 2

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Q: The inverse of the matrix shown below is: [5 31 L10 6] В. [5 31 L1.0 .6] C. [.167 .11 [.33 2] А. D.…

A: We know the inverse of matrix A =  abcd is given by,A-1 = 1ad-bcd-b-ca     where, ad-bc ≠0

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Q: Theorem 3.58. Let Tbė a normal operator on a Hilbert space H, then x is an eigenvector of Twith…

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Q: Compute the Laplace transfarm of :

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Q: . Solve by using variation of parameters: y" – 10y' + 16y = 4e*

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Q: et P be a projection of a normed linear space

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Q: ts] Consider the IVP: y = 3x – 2y + 5, y(2) = 4. %3D A) Use Euler's method to obtain an…

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Q: Determine whether each improper integral below converges or diverges. a dx 2. S 0 Vax

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Q: 24. Show that 1P + 2P + 3P + .+ (p - 1)P =0 (mod p) when p is an odd prime. Show that if nis prime…

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Q: Determine whether each improper integral below converges or diverges. 1. S xe -3x dx 1

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Q: State whether each of the following series converges absolutely, conditionally, or not at all. n…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.