OEF subspace definition --- Introduction ---

This module actually contains 21 exercises on the definition of subspaces of vector spaces. You are given a vector space and a subset defined in various ways; up to you to determine whether the subset is a subspace.

See also the collections of exercises on vector spaces in general or definition of vector spaces.


Continuous functions

,


Increasing functions

,


Crossed Matrices


Matrices and determinant


Matrices and elements


Multiplied matrices

.


Matrices and rank


Matrices with power


Periodic functions


Polynomials and coefficients


Polynomials and degrees


Polynomials and integral


Polynomials and integral II


Polynomials and roots


Polynomials and roots II


Polynomials and values


Polynomials and values II

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Polynomials and values III

.


Real functions


Square matrices

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Vectors of R^3