Question

Cramers rule
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Answer 1

Answers provided below

Explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

(3 4 5)

(2 -1 8)

(5 -2 7)

The x-matrix is Dx is given by;

(18 4 5)

(13 -1 8)

(20 -2 7)

Similarly, the y-matrix Dy is given by;

(3 18 5)

(2 13 8)

(5 -20 7)

Also,the z-matrix Dz is given by;

(3 4 18)

(2 -1 13)

(5 -2 -20)

Determinant of the coefficient matrix from online determinant calculator is;

D = 136

Determinant of the x-matrix from online determinant calculator is; Dx = 92

Determinant of the y-matrix from online determinant calculator is; Dy = 696

Determinant of the z-matrix from online determinant calculator is; Dz = 576

From crammers rule;

x = Dx/D = 92/136

y = Dy/D = 696/136

z = Dz/D = 576/136