If A is a squared matrix, solve(A) gives the inverse of A; if you have a
system of linear equation AX=B, solve(A,B) gives the solution to this system
of equations. For example:
x-2y =1
-2x+3y=-3
> A=matrix(c(1,-2,-2,3), ncol=2, byrow=T)
> B=c(1,-3)
>
> # to get the inverse of A
> solve(A)
[,1] [,2]
[1,] -3 -2
[2,] -2 -1
> # to get the solution to the system of equation
> solve(A,B)
[1] 3 1
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