Yes, and then substitute the point in.
A linear function, from to can be represented by an n by m matrix.
In particular the linear approximation to at any point, (x, y), has as "slope"
At (1, 0) that is
Since f(1, 0)= (1+ 1, 1, 1+ 1)= (2, 1, 2), the approximation to the function at (1, 0) is
.
That is exactly your