Use Cramer's rule to find the value of xx + 2y - 3z = -222x - 6y +2z = 0-5x +2y + z = 0 Use cramer's rule to find the value of x, would appreciate any assist on this.
Given a system of equations:
Cramer's Rule states that if there is a solution, then the solution can be found by:
where the straight bars indicate the determinant of the matrix.
The y value is found by replacing the column of the coefficients on y in the coefficient matrix by the column from the RHS, and the z value by replacing the column of the coefficients of z by the column from the RHS.
** One method for finding the determinant is
`|[a,b,c],[d,e,f],[g,h,i]|=(aei+bfg+cdh)-( g e c+hfa+idb)`
or you can use expansion by minors **
Thus the solution (x,y,z)=(5,6,13)
If there is no solution, then the determinant of the coefficient matrix will be zero.