dy = x – 2y dt Зх + 6у and %3D dt dY (i) Write this system in the form dt AY where A is a 2 x 2 matrix (ii) Find the general solution Y(t) (iii) Determine if the origin is a sink, source, or saddle

Q: Explain in word what are the possible consistent and inconsistent system for 2 lines planes?

A: The conditions for the consistent system of equations can be explained as follows:

Q: Represent the given system by matric representation. 2x+4y =5 -x +3y =-2

A: Given a system of equation.  2x+4y =5- x +3y =-2 We have to represent the given system by matric…

Q: for which the giyen system has no

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Q: Determine all values of k for which the given system has a unique solution. kx₁ + x2 + 2x3 = 4…

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Q: Explain in word what are the possible consistent and inconsistent system for 3 planes?

A: To explain: the consistent and inconsistent system for 3 planes.

Q: Use Crout Factorization algorithm to solve the linear system 4x1 – x2 = 3 -21 + 2x2 = 1

A: The given system of equations  4x1-x2=3-x1+2x2=1 can be written as AX=b, A=4-1-12, X=x1x2, b=31

Q: Determine whether the system is consistent. X1 - X2 + 4x3 = 15 -4x1 + 4x2-16x3 = 4 X1 + 4x2 + X3 - 0…

A: The system of equation is given as x1-x2+4x3 = 15-4x1+4x2-16x3 = 4x1+4x2+x3 = 0 This system is…

Q: How many solutions does the graphed system below have? * (A) O O (B) 1 O (C) 2 O (D) Infinite

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Q: Is there a real number x such that x = 2-x? Decide by displaying graphically the system

A: Consider the equation: x=2-x. Is there a real number x satisfying the equation.   If the graphs of…

Q: 3. Name the three types of solutions linear systems can have and give a graphical example of each…

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Q: There exists a linear system has exactly two solutions. O True O False

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Q: Sketch the graph of the system.

A: Solution: Consider the given system is: x2-y  <0y-2x  <5xy        <0 The given system has…

Q: X1+2X2+5x3=3 then the values of a, bsuch that the system is inconsistent. Let 2x1+4x2+ (a2-6)x3 =b…

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Q: Write the 3 forms of the line described. 4 1) through: (-6, 4), perpendicular to y =-r-3 3

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Q: Consider the linear system below. x1 + hx₂ 3x1 + 8x2 k a. What value(s) of h and k will force this…

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Q: Determine whether the system is consistent. 1) x1 - x2 + 3x3 = -11 -4x1 + 4x2 - 12x3 = -2 x1 + 3x2 +…

A: The given system is   x1-x2+3x3=-11-4x1+4x2-12x3=-2x1+3x2+x3=-17 We have to check whether the given…

Q: Define the Linear system of equations for the variable two t;" and "t" by giving example.

A: To define a linear system of equations of two variables t1 and t2.

Q: Please do using Crammer's rule 3x 3 Linear system 2z +y-2z -1 3z- 3y-z 5 z- 2y +3z 6 5.

A: We will use Cramer's rule to solve the system as shown below

Q: Write an example of a homogeneous linear system and an example of an inhomogeneous linear system.…

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Q: 13. Set up a linear system for the network system and solve 20 1 X1 4 10 3 X5 X3 10 2 X4 5

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Q: OOn a snow day the movie theatre took in $1967.50 in ticket sells. Adult tickets are $8.75 each and…

A: Solve for the linear equation

Q: 10) Describe a consistent, independent system of linear equations and give examples to justify your…

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Q: Decide which one of the following systems of polynomials is a linearly inde- pendent system: (i) x2…

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