Q1) Solve the following linear equations using Cramer's rule 2x + 3y – 4z = -3 %3| x + 2y + 3z = 3 3x – y – z = 6

Q: Solve cach system using Cramer's Rule. 5r – 5y = 7 (a) 2r – 3y = 6 2r + 3y + 2z = -2 -1- 3y – 8z =-2…

A: a) 5x- 5y=72x-3y=6b)2x+3y+2z=-2-x-3y-8z=-2-3x+2y-7z=2

Q: Find the general solution of thedifferential equation. (2+x)y'=3y

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Q: : Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x +2y-z = 4

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Q: solve the following simultaneous equation using cramer's rule": 2x-y = 3 3x+2y = 8

A: To solve the simultaneous equation by Cramer's rule we first find co-efficient matrix , X-matrix,…

Q: Q2) Use Cramer's Rule to solve the following system : y = 2 – 2x + z x - y = 7- z 2x + 2y = 4- z

A: Rewrite the equation as follows 2x+y-z=2x-y+z=72x+2y+z=4   write the equation in matrix form…

Q: Q2/ B/solve the set of linear equations using Gramar's rule: 2x + 3y – z = -9 + 4 x + 2y = 5 – 5 3x…

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Q: Use Cramer's Rule to solve the following system. I+ y – z + 2 = 0 2x – y + z + 5 = 0 I – 2y + 3z =…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 7. For what values of k will the system 2z + ky + z = 0 (k - 1)r - y + 2z = 0 4z + y + 4z = 0 have…

A: Determinant be zero for non-trivial  solution

Q: Use Cramer’s rule, whenever applicable, to solve the system.

A: Consider the system of linear equations. 2x+3y=2x-2y=8 Let A=231-2. Obtain the determinant of the…

Q: Solve the system using Cramer's Rule.

A: 2x+7y=136x+16y=30

Q: Determine the values of the variables to satisfy the equation using a) Jacobi and b) Gauss-Seidel.…

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Q: Solve the following linear equation by Cramer's rule:- x+ 2y = 0 -x+ y+z 1 x+ 2y +3z 0

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Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: Q2: Use Cramer's Rule to solve the system:- 4x – y + z = -5 2x + 2y + 3z = 10 5x – 2y + 6z = 1

A: Given,            The system of equations are             4x-y+z=-5             2x+2y+3z=10…

Q: Solve by Cramer's rule. S 3x – 2y + z = 13 -2r + y + 4z = 11 x + 4y – 5z = -31 %3D

A: Given system of equations are  The above system of equations can be written in matrix form as…

Q: Solve the following linear system of equations using Cramer's Rule (17-18): 17. x + y +z = 6 2x + 3y…

A: cramer's rule

Q: If y1, Y2 Y3 are solutions to y"+p(x) y' +q(x) y =0, then {y,, Y2 • Y3} is Linearly dependent.…

A: We have to tell about given statement.

Q: Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x+4y+9z = 6

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Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x + 2y-z = 4

A: Let's solve three linear equation by using cramer's rule.

Q: 7 В. + %3D 3 5 2 10 2x 2y 3z 11 + 5 3 2 10 4y + z 5 9. 5

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Q: b. Solve the following equations using Cramer's Rule 4x + 2y = 10 Зх— 5у %3D 1

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Q: Solve for the unknown variables using Cramer's Rule * 4x + y +z + w = 6 3x +7y - z +w = 1 7x + 3y…

A: Given 4x + y +z+w=6 3x +7y - z+w = 1 7x + 3y -5z +8w = -3 x+y+z+2w=3

Q: 2) Use the Cramer's rule to solve following linear equation system. X1 + x2 – X3 = 6 %D 2х, + 5x2 +…

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Q: Solve the linear equation using Jacobi Iteration -2х — у + 5.5z %3 8.1 4.3х + 2y -z %3D 6.8 x+ 4.7y…

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Q: Solve the following system of linear equations using Cramer's rule. 1 3 01 0.5 1||y Lo.5

A: see below the answer

Q: x + 6y – 4z = 3 Q9// By Cramer's rule, solve the system 2x + 3y + 10z = 7 7y+ 5z = 2 - %3D

A: Given system of equations are :- x + 6y - 4z = 3 2x + 3y + 10z = 7  7y + 5z = 2 Therefore to use…

Q: 2) Use Cramer's rule to solve the system : x + y +z =0 2x - 4z =15+ y - z +x -7=2y

A: Linear system in the form of Ax=b, where A is coefficient matrix and b is column vector. Rewrite…

Q: Solve the following simultaneous equations Using Cramer's rule. Show complete solution. 10x + 15y -…

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Q: 2) Use Cramer's rule to solve the system : x + y +z = 0 2x - 4z =15+ y -z +x -7=2y

A: Linear equations are the set of equations which have their degree equal to 1. Linear equations can…

Q: 4) Use Cramer's rule to solve the following linear system: I1 – 3r2 + 13 = 4 271 – 12 = -2 4.x1 –…

A: Given problem is :

Q: Using Cramer's rule to solve Зх + у + 42 - 2х + Зу - 2z x - 3y – 27 = -8 %3D 11 %3D 4 for y, we…

A: Consider the given information. 3x+y+4z=-82x+3y-2z=11x-3y-2z=4 Now, make the matrix D, according to…

Q: Solve the following systems of linear equations. 0.5x + 3y = 9 and 6y + 11x = -20 Cramer's rule а.

A: CRAMER'S RULE :

Q: Solve the following system of simultaneous using Cramer’s Rule 3x – 3y + z = 5 4x + y + 2z = 3 5x…

A: Given   System of equations 3x – 3y + z = 5 4x + y + 2z = 3 5x + 3y + 4z = 2

Q: Solve the linearsystem by Cramer's rule method x - 3y + 7z = 13 x +y+z = 1 x – 2y + 3z = 4

A: First we have to find all the delta values.

Q: Find y by Cramer's rule for the following linear system. z+0y+2z 6 -3z+4y+6z=30 --2y+3z-8

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: Solve the following system of equations by using Cramer's Rule: X-y= 1 (4x + 3y = 32 %3D

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Q: Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x + 4y +9z = 6

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Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

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Q: 2. Solve for y only using Cramer’s rule if: x + y + 2z = 3 2x − 3y +z = 0 3x + 3y +z = 5.

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Q: 8. Solve the system of equations using Cramer's Rule. 12x - 11y = 140 7x +9y = 20 |Dyl y%3= |D| |Dx|…

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Q: (b) By using Cramer's Rule, solve the system of linear equations given by PX = C where %3D TAN UNT…

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Q: Solve the following system of equations by using Cramer's Rule: 2 x + y – z = 2 x - y +z = 7 2 x +…

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: Solve the following equations by using Cramer's Rule 2x + 2y + z = 1 x-y + 6z = 21 3x - 2y-z = 4

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Q: 4/ Solve the following system of equations, using Cramer's rule. 2х — 4y = 6 x +y +z = 1 5y + 7z =…

A: Given :                       2x - 4y = 6                      x + y + z = 1…

Q: Q1. (a) Apply Cramer's rule to solve the following system of equations 2x – 3y + 4: = -9 - 3x + 4y +…

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Q: 17. Solve the system of equations using Cramer's Rule. 2x + y = 1 5x + 2y = 5 |Dxl X = IDI IDyl…

A: The given system is: 2x+y=15x+2y=5

Q: I. Solve the following systems of linear equation using Cramer's rule. A. x + y+ z + w = 0 x - y –…

A: Solution

Q: Use Cramer's Rule to solve the system.   2x  −  4y  +  z  =  16     7y  −  5z  =  −1…

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Q: Solve the unknowns using Cramer's Rule           x+2y−z=6          3x+5y−z=2          −2x−y−2z=4​

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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.