### linear-algebra

#### Upper Division Linear Algebra

I am taking an upper division undergraduate linear algebra course, and I just need help understanding my reading, which states: "Let S be a nonempty set and F be any field, and let F(S,F) denote the set of all functions from S to F. Two functions f and g in F(S,F) are called equal if f(s)=g(s) for each s, an element of S." Basically, these 2 sentences make no sense to me, and I would greatly appreciate it if someone can break this down for me. Thank you.

I think that in the sentence "equal if f(s)=g(s) for each s, an element of S." s mean all of the element S so, In all case s, if f(s) and g(s) equal, function f=g

### Related Links

Solving of a linear system with parameters

Upper Division Linear Algebra

positive solutions to a homogeneous linear system

Use LispLab within AutoCAD

Eigenvalues of large symmetric matrices

Eigen - directly compute log determinant of huge sparse matrix

Calculating the coefficients of a separable state

When to use eigen and when to use Blas

Numerical Economic Computability Algorithm

Index of a maximum element in TensorFlow tensor

Efficiently multiplying matrix with transpose using cuBlas

Linear Algebra Derivation in Gertler-Karadi (2015) AEJ

Lapack Orthonormalization Function for Rectangular Matrix

Speed of linear dynamical system trajectory

Linear iterative solver vs direct solver stability

Linear algebra algorithms example [closed]