question says to find the linear approximation of the given mapping at the indicated point
is this related to the tangent plane to a graph
just take it and use it in this formula
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