Solve by Cramers rule 2x x 4x 3y y y 2z z z b 3 11 Write

Solve by Cramer\'s rule {2x x 4x -3y +y +y +2z + z -z = b = -3 = 11 Write your answer in matrix determinant form, to save time. Answer: x = y = z =

Solution

Your matrix

Write down the main matrix and find its determinant

D = -25

Replace the 1st column of the main matrix with the solution vector and find its determinant

D1 = -64

Replace the 2nd column of the main matrix with the solution vector and find its determinant

D2 = 60

  

Replace the 3rd column of the main matrix with the solution vector and find its determinant

D3 = 79

x1 = D1 / D = (-64) / (-25) = 64/25

x2 = D2 / D = 60 / (-25) = -12/5

x3 = D3 / D = 79 / (-25) = -79/25

solution

x1 = 64/25

x2 = -12/5

x3 = -79/25

	X1	X2	X3	b
1	2	-3	2	6
2	1	1	1	-3
3	4	1	-1	11