Homework Statement
Use the subspace theorem to decide which of the following are real vector spaces with the usual operations.
a) The set of all real polynomials of any degree.
b) The set of real polynomials of degree \leq n
c) The set of real polynomails of degree exactly n...
Homework Statement
For the following linear system:
\frac{dx}{dt} = -2x
\frac{dy}{dt} = -2y
Obtain the general solution.
Homework Equations
The Attempt at a Solution
A= -2 0
0 -2
Using the determinant of A-\lambdaI I got a repeated eigenvalue of -2. I am...