Solve for (y,z) for the following three equations by using determinants method 2x+6y-z=6    (1) 4x-3y+5z=-5   (2) 6x+9y-2z=11    (3)

Q: Evaluate the determinant.

A: The problem is to find the determinant of the given matrix.

Q: 2 -1 1 -1 1 A = -1 3 1 -1 3 2 -1

A: Given

Q: Given the equations: x + y +z = 2, 3x – y – 2z = 4, 5x – 2y + 3z = -7. Solve for y by determinants.

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Q: Use the Diagonal Method to evaluate the value of the determinant: 3 4 2 -1 - 3 -2 2 3 1 -1 | A = 1 3…

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Q: Calculate the Dy determinant for 2X2 equation. -8x + 3y = -5 7x - 2y = 3

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Q: What does interchanging any two rows (or columns) do to the value of the determinant?

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Q: 1 2 3 det 4 7 2 7 0 7 ..

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Q: Which determinant is Dz for the following system of equations?3x - 5y + 4z = 47x + 2y - z = 24x - 3y…

A: In order to compute the Dz for the system of the given equations, compute the determinant value of a…

Q: -3 0 1 -1 4 2 1 alculate the determinant: -1 -2 -1 1 0. 2. 3.

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Q: Solve for the values of system of linear equation using determinants. x+ 2y – 4z = -4 2x + 5y – 9z =…

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Q: There are two values of x which makes determinant A be equal to 86. Find the sum of these two…

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Q: Calculate the determinant Dy for 3X3 equation. 5x + 3y – 2z = 10 2x + 4y - z = -6 3x + 5y - 4z = -8

A: Given Equations are 5x + 3y - 2z = 10 2x + 3y - 2z = -6 3x + 5y - 4z = -8  we have to find…

Q: Use elementary row or column operations to find the determinant.

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Q: Solve using Cramer's rule (determinants): 3x + 4y = -1 -2x + y = 8.

A: the given system of equations is: 3x+4y=-1-2x+y=8 we have to solve the given system of equations by…

Q: Calculate the 3×3 determinant. 1 0 1 -4 0 4 1 3 3 -1

A: Given determinant

Q: Find the value of y, its determinant and Dz 2x - 4y + 5z = -33 4x - y = -5 -2x + 2y - 3z =19

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Q: Use determinant to solve the system 2x + 3y = z +1 3x + 2z = 8 - 5y x - 2y - 3z = -1

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Q: Given the system | 2x+3y=0 |ax-y=0 Using determinant find the value of a for which the system has…

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Q: 3] Use determinants to find the values of X, Y, Z, W, M. 26 14X7Y+5Z - 11W + 21M = 33 -3X + 5Y-13Z -…

A: We have to find the values of X, Y, Z, W, and M using determinants.

Q: - Solve the tollowing Systrem by determinant s : 2 z +3 =y+3 x X -32=2y + I 3y +2=2-2.X

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Q: Find the determinant.      2   -3   1   3  -4    1   -5   6    1

A: We have to solve the problem

Q: Evaluate the determinant 1     6    0 4     2    7 0     5    3

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Q: Use determinants to find x in the below equations: 5x + y - 3z = 0 - 9x + 2y + 5z -1= 0 4x + y -…

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Q: (2x + y - 3z = -9 | x + 5z = 14 | −3x + 2y - z = 4). From 3 (three) equations, what is the value of…

A: Solution :-

Q: Solve this equation by using the Determinant method. 2x+5y=10 4x+10y=20

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Q: Q1: Solve the following system by using the Determinants method. 2x + 3y + 5z = 8 , x+ y+ z = 5 , 4x…

A: The equations can be written as: 2x+3y+5z=8x+y+z=54x+0y+5z=2

Q: 3. Solve the following system of equations by use of Determinants. (Put in proper form first!) 5y +…

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Q: х+ 2у — 32 — 1 2х + 5y — 8z3 4 Зx + 8y — 13z 3D 7 (с)

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Q: Evaluate the determinant.   8 0 0 6 2 −8 7 5 −4

A: Given the matrix:

Q: Solve for x. |x + 3 -4 = 0 1 х- 1 STEP 1: Solve for the determinant in terms of x. |x +3 1 х-1| -4…

A: Solving the problem by finding the determinant.

Q: - use determinant to find the values of the unknown variables of the system 2x + y + 3z = 6 3x +z =…

A: See the details solution in below

Q: Find the determinant of

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Q: Factorise x^3 + y^3 + z^3 - 3xyz using determinants and complex numbers.

A: x3+y3+z3-3xyz=0

Q: Solve using determinants    2x+2y=8 2x+y=2

A: Given:2x+2y=82x+y=2AX=BA=2221 , B=82  and X=xy

Q: Use a determinant to find an equation of the line passing through the points (x, y). (−2, 5), (4,…

A: (x,y)      two points given that (-2,5)     &      (4,3)

Q: Solve using the following system by determinants following Cramer's rule. x+y+z = 5 x - 2y - 3y = −1…

A: We have to slove determinants by use camer's rule

Q: Solve for y from the given equations using determinants. 1. 4x - y + z = -5 2. 2x + 2y + 3z = 10 3.…

A: The given equations are; 4x-y+z=-5 2x+2y+3z=10 5x-2y+6z=1.

Q: Solve for x. |x + 3 4 x- 1 = 0 STEP 1: Solve for the determinant in terms of x. **-O |x + 3 4 x -…

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Q: B = D = NUE OF 5 9- 7 - - - - Noo 5 نیا --- - 6 -

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Q: 3. у3 Cјсos2х+c,sin2x

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Q: 4.) Find the Determinant Value and the variable x, y & z? - x +2y -3z = 1 2х = 0 3x -4y +4z = 2

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Q: Evaluate the determinant: | 1 6 0 4 2 7 0 5 3

A: Solution:

Q: (a-x)² (a-y)² (a-z)² Express (b-x)² (b-y)² (b-z)² as a product of two determinants and hence…

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Q: Without performing calculations, explain why the determinant of 1 0 0 3 0 4 2 -1 8 3 -2 4 1 is zero.

A: We prove that rows of the matrix is linearly dependent. If rows of a matrix is linearly dependent…

Q: The determinant of a 2 × 2 matrix involves two products. The determinant of a 3 × 3 matrix involves…

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Q: Find the determinant 5 7 0 4 4 -7 0 8 0 1 6 0 7 0 8 0

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Q: Find the determinant of the matri> 1 0 2 4 0 1 3 2 A = -1 1 4 2 3 0-1

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Q: Solve for the Determinant of A 5 3 8 4 9 6 1 2 12 7 A = -7 -8 4 2 -3

A: Please find attachment for the details solution