Find the values of x, y, and z from the following equations
`[(x+y, 2), (5+z, xy)]=[(6, 2), (5, 8)]`

Find the values of x, y, and z from the following equations [(12, 3), (x, 5)]=[(y, z), (3, 5)]

Find the values of x, y, and z from the following equations [(x+y+a), (x+z), (y+z)]=[(9), (5), (7)]

Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,z)] satisfy the equation A'A=I .

Solve the system of equations in x,y and z satisfying the following equations x+[y]+{z}=3.1, y+[z]+{x}=4.3 and z+[x]+{y}=5.4

Find the value of x, y, z if ((x-3, 3x-z), (x+y+7, x+y+z))=((1, 0), (1, 6))

In vestigate the values of lambda and mu the system of linear equations 2x+3y+5z=9,7x+3y-5z=8, 2x+3y+ lambda z= mu , have (i) no solution (ii) a unique solution (iii) an infinite number of solutions.