1 b1 Suppose A = -1 1 1 and b = b2 x2 %3D %3D 20 10 X3 b3 The condition(s) on b1, b2 and b3 so that the system b is consistent is(are) Ax %3D 3.

Q: For what value of a does the linear system 2x + 3y = 1,4x + 6y = a have infinitely many solutions?…

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Q: 2) Consider the following system: I1 – 2r2 – 13 = b1 -4.x1 + 5x2 + 2.x3 = b2 -4.x1 + 7x2 + 4rz = bz.…

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Q: (a) Compute eAt for -1 A Solve the following linear nonhomogeneous system: et x1 = x1 – x2 + t2 +1 x…

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Q: Find the Avalue of k for which She System of 2x,-3x2+23 =0 equahcns 2x, - 3xa+ Xg = 0 X, +2xy-3x3 =0…

A: A system of linear equations ax+by+cz=0, mx+ny+pz=0 and rx+sy+tz=0 has non-trivial solution if…

Q: Let b ER. Consider the following system: x+y+z= -1 4x +2y + z = 3 9x + 3y = b %3D Using Gaussian…

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Q: 3. Solve the linear system below a + 2b − c +4d = 6 -a-4b +2c + 2d = 4 2a + 2b − c + 2d = 4 a + 2b +…

A: (a). Cramer's Rule

Q: Q-2: [1 0 2 1 1 [1 -21 and B: [1 a) Let A 1 1 If possible, compute A + BT and [i 1 -1] 3 ВТА. X1 +…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: What conditions must be satisfied by b1, b2, b3, b4, and b5 for the overdetermined linear system x1…

A: Given , set of equations we need to find the values of b1 , b2 , b3 . So the equations given are…

Q: c) For a LTI system when the input is x1(t) the output is y1(t) and when the input to the same…

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Q: Consider the system: a) show that [3t+4] =-2t+1 4 Z t-1 b) golve (*) with the initial condition.…

A: Solution

Q: 2 A = 3 find the possible solution(s) to the -4 linear system A²x = b, where x = X1 and X2 2 b -3

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Q: (d) Consider the following system of linear equations 2x1 - 3x2 + x3 - 3x4 + 2x5 = 6 2x1 - 3x2 + 5x3…

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Q: Let b ER. Consider the following system: x+ y+z = -1 4x + 2y + z = 3 9x + 3y = b Using Gaussian…

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Q: Г1 2 B = 2 2 |1 3 [1 0 3 and C = 2 1 |1 1 2 31 1 a) Let A = |-1 1 If possible, 3 -2 -1 1 -1 compute…

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Q: 1. Solve the linear system below using Cramer's rule. -8x + 10z -4 Зи + Зу — 52 2л — 4у — 42 %3D 2…

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Q: 3. Solve the linear system below a + 2b – c + 4d = 1 —а - Зь + 2с + 2d %3D 4 2а + 2b — с + 2d %3D 2…

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Q: 2. For what value(s) of k will the following linear system have a unique solution? kx + 2y – z = 5 х…

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Q: 6. How many solutions does this system have? b) 1 d)i 10x - 7y=10 4x + 5y = 12 a) 0 c) 12 Ho…

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Q: 2 3 4 6. Given linear system AX-B where: A= 4 5 10 and B=16 %3D 4 8 2

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Q: This question is from the subject Linear Algebra. Consider the Following system of linear equations…

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Q: 3. Solve the linear system below a + 2b – c + 4d = 1 -a – 3b + 2c + 2d = 4 2a + 2b – c + 2d = 2 | a…

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Q: Find the value of k such that the system is Inconsistent 2x + 8y = 1 10x + ky = -1

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Q: 2. ) Consider the following system; X1 + x2 + 3x3 – 2x4 = 0 2x1 + 3x2 + 7x3 – 2x4 = 9 Зх, + 5х2 +…

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Q: Find the value of for which the system X+2y = 3 a is inconsistent. X+ay = a %3D a=-3 Oa. a=-2 Ob.…

A: We have to find the value of a for which given system of equations is inconsistent: x+2y=3x+ay=a We…

Q: Consider the linear system Ax =b. Find x given: -1 -1 1 A1 = 3 -1| and b = -4 -4 1 1 3 X =

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Q: Consider the system of equations shown below. X - 4y = 3x - 12y = -2x + 8y = -24 12 36 (a) Determine…

A: The given question can be solved as shown in step2.

Q: (-6+ 15x = 3y 1-ky + 9 = 10x Find the value of k such that the system is inconsistent.

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Q: A = 2. 3. Ax

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Q: #18

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Q: [1 2 B = |2 2 1] [1 _0 2 1 -1. 1 31 1 a) Let A = |-1 3 and C 1 If possible, 3 -2 li 3 -1] l1 1…

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Q: 1 3 1 Suppose A = -1 1 1 and b = %3D b2 20 10 b3 The condition(s) on b1, b2 and bz so that the…

A: The system is consistent for any value of b1 , b2 and b3.

Q: Example 28. Solve the following system of equations by Cramer's rule : - 4y- z 11 2x – 5y + 2z 39…

A: The given system of equations is x-4y-z=112x-5y+2z=39-3x+2y+z=1

Q: -8 11 1 and b 21 For the linear system Ax = b if A -1 2 find x1? %3D -1 A) 3 E) -1 в) -2 F) -3 C) 1…

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Q: bläi 10 QUESTION/3: The value of X3 in linear system is 20x, +15x, +10x3 = 45 - 3x, - 2.249x, +7x3 =…

A: Write the system in matrix form and then simplify.…

Q: с1 and study the behaviour of the system as t >o depending c2 Write the general solution for x(0) =…

A: Since you have posted multiple questions, but according to guidelines we will solve first question…

Q: 1. If a system of linear equations is represented by AX = B and A is not invertible, then the system…

A: We have to identify the statements as true or false.

Q: b. What restrictions, if any, need to be imposed on a, B, and y in order for the system ax2 – Br3 =…

A: Given: Let the given system is αx2-βx3=0-αx1-γx3=0βx1+γx2=0   To determine: The restrictions need to…

Q: Find the general solution of the linear 2 -1 X' = 4 -2 system is OaX=c1 t2 1 2 +c2 -1 | Ob. No…

A: We will use standard technique.

Q: 1.2.12 (a) Explain why every linear system over R has either zero solutions, one unique solution, or…

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Q: An augmente IX Of a system of equations with variables x, y and z is written in Row Echelon Form…

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Q: 2. (10 marks) Using Cramer's Rule, find the solution to the following system of linear equations: -x…

A: Determinant of the matrix of order 3 is calculated as,  detabcdefghi=a·detefhi-b·detdfgi+c·detdegh

Q: 13. Consider the linear system of equations x1 + x2 + a3 = 9 2x1 – 3x2 + 4xs = 13. 3x1 + 4x2 + 5x3…

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Q: Consider the following linear system: A. Using Cramer's formula, which one of (A) to (D) gives the…

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Q: 1 6 5 b1 Suppose A = -1 -5-3 and b b2 %3D x2 0. 8 16 x3 b3 The condition(s) on b1, b2 and b3 so that…

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Q: Find the value of for which the system X-5y = -6 a is inconsistent X+ay = a a=5

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Q: by 1 -1 and b b2 ippose A = %3D b3 15 X3 Che condition(s) on b1, b2 and bz so that the system = b is…

A: See the details solution in below

Q: 3. Find conditions on a, b, and c (if any) such that the system + z = -1 = 2 y+2z = -4 2x – Y ax +…

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Q: с1 b). Consider the discrete dynamical system xk+1 = Axk and write the general solution for x0 = c2.…

A: Let a be a square matrix λ be eiger valueof A then there exist non zero eiger verton xs.t  Ax=λx.Now…

Q: Given the system of equations 2я — Зу — 92 14 - %3D х+ 32 — 11 — За + у — 42 — 21 (a) determine…

A: Here we used augmented form of the matrix

Q: 3. Solve the linear system below a + 2b – c + 4d = 1 —а — 3b + 2с + 2d — 4 2а + 2b - с + 2d — 2 -…

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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.