Determine whether this table represents a probability distribution. x P(x)
0 0.3
1 0.3
2 0.1
3 0.3

There is a solution. Starting from C−1(A+X)B−1=In C−1(A+X)B−1=In, multiply both of the sides of the equation, by C and multiply both sides of the equation by B.

In other terms, this is the solution:

Given: C^(-1)(A + X)B^(-1) = In

= CC^(-1)(A + X)B^(-1)B = CInB

= In(A + X)In = CB

= AInIn + XInIn = CB

= A + X = CB

X = CB – A

The final answer Is X = CB – A