Q1. Use the summation convention and free subscripts to indicate the following linear system Yı = a11X1 + a12X2 Y2 = a21x1 + a22X2

Q: -Salve. Linear.- Program by.using graiphic metheed miax-Z=4X+3X7 Sat. 6x,+4Xq€48. 4%2 8X2 8a X、ッ父セ2。

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Q: Find the value of for which the system X-y = -2 is inconsistent. a X+ay = a

A: The solution for the above question is as shown below.

Q: consider an arbitrary linear system with input x[n] and output y[n]. show that x[n]= 0 for all n…

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Q: solve the system of Using Gramer's Rule: linear equabions 2X, + 4 X3 -2 = o X2 + 4 X3 = 6 X, + X2 =…

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Q: Find the conditions on b1, b2 and b3 so that the following linear system is consistent. X2 + 2x3 2x4…

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Q: Use the summation convention and free subscripts to indicate the following linear system y1 = A11X1…

A: →Replace the expanded equation with a summation such that all the  term satisfies that expansion of…

Q: find (K)if the following System has im finitely Many Solution: Xty +Z =9 3X -3y+kZ = 13 3X+4y +52…

A: Given, The system of equations  x+y+z = 93x-3y+kz = 133x+4y+5z = 40   We have to find the value of k…

Q: 9. In each part, determine whether the given 3-tuple is a solution of the linear system 2x — 4х> X1…

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Q: snown. 8 6- 5- 4- 3 2- -6 -5-4 -3-2/1 12345 6 -2 -3 -4- J0/hat is the solution to this linear…

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Q: Find A and b such that Ax = b corresponds to the given linear system. 6x1 – 6x2 = -4 - 5x1 + 7x2 =…

A: Given system, 6x1-6x2=-4-5x1+7x2=-9-7x1+2x2=3

Q: In the system of constant. For w ехас exactly one dist

A: Concept:ax2 + bx + c = 0can have only one solution when,when the discriminant is zero.b2-4ac = 0b2 =…

Q: Solve the following system using Gauss-Jordan Elimination: 4x+8y-4z=4 3x+8y+5z=-11 -2x+y+12z=-17

A: The given equations are 4x+8y-4z=4, 3x+8y+5z=-11 and -2x+y+12z=-17.Write the augmented matrix for…

Q: 1. Which of the following is an example of a linear system of equations? O 5æ + 6y = 13 6x – 12y =…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5 Use elimination to show that the following system does not have a solution. X, + 2x2 + xz = 3 2x,…

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Q: Q2\ Use Gramer's rule to solve the following system: * x + y- 2z = 3 3x – y + z = 5 3x + 3y - 6z = 9…

A: We can only use Cramers rule only when determinant of A is nonzero.

Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t =10 - x, + x, -2x, +x, - x, <-10 Can an…

A: So we have a linear programming problem with 3 variable x1,x2,x3 with two constraints.  First we…

Q: r the following system to be consistent, 3z + 7y + 3z + 8y + 5z = -4 kz = 9 y + 19 z 2 -5 e must…

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Q: 6. Consider the system: | | dt = 2.r y(8 + 2y) + 2ry

A: Given: Let us consider the given system, dxdt=14xy-2x⇒Fdydt=y8+2y+2xy⇒g

Q: For which value of a is the system 3x1 − x2 + 4x3 − 7x4 = 3 x1 − x2 + 2x3 − 3x4 = 1 −x1 + 2x2 −…

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Q: 2. Consider the linear program: min 35C +30T + 25A subject to 9C+ 2T +4A > 20 3C + 8T+ 6A > 18 C +…

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Q: What will the value of k be that would make this linear system is consistent? x1 − 4x2 − 6x3  =  -4…

A: To find The value of k is the given linear system is consistent. x1-4x2-6x3=-4 5x1-6x2-5x3=-8…

Q: Show that the linear system Ax b has a solution if andonly if b can be written as a linear…

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Q: (c) Show that the following linear system is a strictly diagonally dominant: 7x1- X2 - X1 + 7x2 - x3…

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Q: Solve the following system using Gauss- Jordan elimination 3x + y = 9 5x = 7+ y

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Q: Find the value of for which the system X+y 2 is inconsistent. X+ay = a

A: It is inconsistent problem.

Q: Determine conditions on the b;'s, if any, in order to guarantee that the linear system is…

A: First we will convert the given system of equation into Matrix form AX=B and then find the row…

Q: Find value(s) of k so that the linear system is consistent? (Enter your answers as a comma-separated…

A: Given,           The  linear systems equations are             6x1-7x2=4             9x1+kx2=-1We…

Q: Determine for which values of a the following linear system is consistent.x + 2y + 3z = 13x + 4y +…

A: Consider the given system of linear equations,

Q: how to answer number 2?

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Q: Find 1) w(x,,x2,x3)for the system x, = tx,-2x2+3x3 1 x2= 5x,-3x2+X3 X 3 = - X2+ X3

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Q: Solve the system of using CGramer's Rule: 2X, +4 X3 -2 = 0 X 2 + 4 X3 X, + X2 = X3 %3D

A: Using Cramer's rule solution of system of equations a1x+b1y+c1z=aa2x+b2y+c2z=ba3x+b3y+c3z=c is given…

Q: 13. Describe and correct the error in solving for one of the variables in the linean system 4x + 5y…

A: Using correct step of solving simultaneous equations.

Q: Which of the following is an example of a linear system of equations? O 5x2 +6y = 13 6x - 12y = 14…

A: Proceed as explained below...

Q: Consider solving the linear system 201 + 2 — а'з + 2а4 421 + 5х2 — Заз + бӕд — 201 + 5х2 — 2а3 + бӕ4…

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Q: 4. Use Cramer's Rule to find x for the linear system given by x+ 2y – z = -1 3x – y + z = -6 2x - 2z…

A: The given linear system is                                          x+2y-z=-13x-y+z=-62x     -2z=-6…

Q: Determine the distanee between the point ( 2,-3,1) and the point of intersection of the following…

A: We have to find the distance between two points.

Q: Solve the following system of linear equations using Crammer's rule: X1-2x2+3x3=-2 -х1+x2-2х3-3…

A: A system of linear equations are given. We need to solve it using Cramer's rule.

Q: solve the following system of quation x-2y+z=0 2y-4z=4 -4x+5y+6z=-9

A: Given:-  System of equations x-2y+z=0 2y-4z=4 -4x+5y+6z=-9   Method:-  I use carmer's rule to solve…

Q: P, - Solve the foilowing System of Linear equet;'on by Gaujs elimintion metlod :.. X, -X2 +3X3 =10…

A: Gauss elimination method basically convert an augumented matrix of a system of linear equations into…

Q: find (K)if the foHowing System has in finitely Many Solution: X+y+2 =9 3X-3y+k2 = 13 3X+4y +52 =46

A: Given :          x + y + z = 93x - 3y + kz = 133x + 4y + 5z = 40        The above system of…

Q: The linear equations -3x-y = 3 and 6x + 2y = 1 is said to be %3D O inconsistent O independent…

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Q: 2. Find solution set of the system by Gauss-Jordan elimination X1- x, + 5x3 + 4x4 = 1 3x1- 4x2 + x3…

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Q: Solve the following linear system for x1, x2, and x3. (1, – 1, 4) - (x1, x2, x3) = 10 (3, 2, 0) -…

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Q: 1) If the responses of a linear system are yl, y2 for the inputs of xl,x2, respectively, give the…

A: Use the property of superposition to solve the following problem. Additivity and superposition are…

Q: Solve the following linear system by Gaussian elimination. X1 = X2 11 x3 = and X1 + 4x2 + 2x3 = 12…

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Q: (c) Show that the following linear system is a strictly diagonally dominant: 7x1 – X2 = 9 -X1 +7x2 -…

A: Show that the following linear system is a strictly diagonally dominant.

Q: (d) Consider the following system of linear equations 2x, - 3x2 + x, - 3x, + 2x5 = 6 2x, - 3x2 +…

A: (i) Writing the given system in matrix form , A = 2-31-322-35-1100432-2333-9 , X = x1x2x3x4x5  and…

Q: Find the general solution of the following linear system: + 3z = 1 %3D 3x + y = 1 %3D None O (-3t +…

A: If the number of variables is more than the number of equations, then the general solution of the…