i. Find volume of the tetrahedron with the following vertices (5,4, –3), (4, –6, -4,), (-6, –6, –5), (0,0,10) ii. Use Cramer's rule to solve (if possible) the system of linear equations. 4x – y + z = -5 2x + 2y + 3z = 10 5x – 2y + 6z = 1

Q: Given the following 3 by 3 simultaneous system of equations: x+y+2z = 3 - 2x - 2y - 4z = -6 2x+2y +…

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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: Show all work to verify if the given point is a solution to the system of equations. (5x² - y² = 3…

A: 5x2-y2=3   point (x , y ) = (-1 , -2 )5-12--22=3    5-2=3  3=3  point is on given curve

Q: Does the point (3, 2, -2) lie on the line through C(-1, 4, 5) and D(3, 2, 8)?. In each system, at…

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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: Use Cramer's rule to compute the solutions of the system. 2x₁ +7x₂=8 6x₁ + 3x₂ = -12 What is the…

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Q: Q4: Using Gauss-elimination method, determine the r,s,t for the system: * -21- 4s – 2t =-r 2t + 2r…

A: To use gauss elimination method to solve the given system  -21-4s-2t=-r 2t+2r+s-3=0 -t+2+3r=-2s

Q: 2. Find the solution set to the system of linear equations in R³: 3x-y+2z=4 x+y-z = 2

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Q: 3. The (2 × 2) of linear equations a1x7 + b1y + + b2y + C1z = dj C22 = d2 a2x is geometrically…

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Q: Solve the system. 74) х + у + z-2 х-у +2z 2 4x + у + z-11 А) (-3,-1,2)} B) (2, -1, -3)} С) (2, -3,…

A: Solution: As per our guidelines, we are supposed to answer only the first question if multiple…

Q: 3w+8r - 18y + = = 35 = 11 = 10 Given: w+2r - 4y w+3x-7y+z a. Give the augmented matrix of the linear…

A: The linear system is given by:  3w+8x-18y+z=35w+2x-4y=11w+3x-7y+z=10 We have to solve the above…

Q: Which of the following is the solution set of the given system of equations below (1) xy = 24 (2)…

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Q: write the Solution set of the homogeneous s System in parametaie C, + 3xz -5203=0 + 4262 -8xュ=○…

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Q: X, + x, +x3 - 2x, = 2 2x, — 3х, + х, — 4х, 3 6 x, + 2x, – 3x, + 4x, = -5 denklem sistemini Cramer…

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Q: ! Use Gramer's rule to solve the following system * x+y = 2 2x – z = 1 2y -3z -1

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Q: Which of the following ordered pair is a solution to the given system of equations? x-4y = -1 x+ y =…

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Q: How many linear equations does a system have in linear equation into variables consist of? at…

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Q: For the system of two equations: 2x + y = 1 -2x - y = 0 Find a solution using the projective plane…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: A king rules a small mountain kingdom which is in the form of a square of length 4 kilometres. The…

A: Given that the points are 1, 1, 3, 1, 1, 3, 3, 3

Q: linear equations shown in the graph below? y y= 3 3 y3D 2*-3 (3, -4) P(-4, 3)

A: Given query is to find the solution of system of lines.

Q: Solue system using augmented matrisc M: X, + 2xz -3x3-2xy +4><5=1 2x, + 5x2 -8x3 -)C4t Gocs =4 +…

A: x1+2x2 -3x3- 2x4 +4x5 = 1x1+5x2 -8x3- x4 +6x5 = 4x1+4x2 -7x3- 5x4 +2x5 =5

Q: -10 -5 Which point is the solution to the system of equations graphed? A) (-3, -3) B) (0, 6) (3, 3)…

A: The solution of a system of equations will be the point where the two lines intersect.

Q: (a) Show that 1 1 1 1 1+ x 1+ 2x = 2x3 (1 + x)² (1+ 2x)² | Hint: Performing row operations will save…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: 2. Solve the linear system using Cramer's Rule 2a + 4b - 6c + 8d = 50 2a - 3b + c - d = -10 3a - 5b…

A: We use Cramer's rule to solve the linear system.

Q: c. d be real numbers in G.P.If u, v, w, satisfy the system of equations = 2v + 3w = 6 5v + 6w = 12…

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