How do you solve this system by inverses?
x + y + z = 1
2x + y = -2
3y + z = 2
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How do you solve this system by inverses?
x + y + z = 1
2x + y = -2
3y + z = 2
I'm not familiar with the term "inverse" for solving simultaneous equations. Are you using Cramer's rule (matrices/determinants) to solve this?
I'm assuming that this is what you mean, but I'm not sure.
Set up a matrix from the coefficients of the three equations
x + y + z = 1
2x + y = -2
3y + z = 2
Calculate the determinate of this matrix (5, if I did it correctly).
To solve for X, replace the first column with a vector of the numbers on the right of the equations. Divide the resulting determinant by the determinant calculated above (5)
Replace the middle column to solve for Y
Replace the rightmost column to solve for Z
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