Find the ivnerse of `[(1,3,2),(3,-2,5),(2,-3,6)]` by adjoint method and hence solve the equations `x+3y+2z=6, 3 x-2y+5z=5, 2 x-3y+6z=7`

Find the inverse of the matrix: [[1,2,3],[2,4,5],[3,5,6]] . Hence solve the equations x+2y+3z = 2 , 2x+4y+5z = 1 , 3x+5y+6z = 3 .

If A=[{:(1,1,1),(1,0,2),(3,1,1):}] , find A^(-1) . Hence, solve the system of equations : x+y+z=6 , x+2z=7 , 3x+y+z=12

If A=[(2,-3,5),(3,2,-4),(1,1,-2)] , find A^(-1) and hence solve the system of linear equations: \ 2x-3y+5z=11 ,\ \ 3x+2y-4z=5,\ \ x+y-2z=-3

If A=[{:(9, 7, 3), (5, -1, 4), (6, 8, 2):}]" find "A^(-1) and hence solve the system of equations: 9x+7y+3z=6, 5x-y+4z=1, 6x+8y+2z=4 .

Solve by matrix method 2x +y +z=1 x-2y-z =3//2 3y-5z =9

Examine the consistency of the system of equations 5x -y + 4z = 5," " 2x + 3y + 5z = 2," " 5x -2y + 6z = 1