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## Homework Statement

use the subspace theorem to decide if the sets is a real vector space with respect to the usual operation

the set of all solutions of the homogenous differential equation

7f''(x) +4f'(x) -6f(x) = 0

## Homework Equations

none

## The Attempt at a Solution

try to put this second order d.e. into first order matrix system.

but don't know what to do next.

how to proof one matrix is under a vector space?