Calculus with Matrices
There actually isn't a whole lot to it other than to just ensure that we can deal along with calculus with matrices.
Firstly, to this point we've only looked at matrices along with numbers as entries, although the entries in a matrix can be functions suitably. Thus we can look at matrices in the subsequent form,
Here we can talk regarding to differentiating and integrating a matrix of this form. For differentiate or integrate a matrix of that form all we perform is differentiate or integrate the particular entries.
Therefore when we run across these types of thing don't find excited concerning to it. Just differentiate or integrate as we usually would.
Under this section we saw a very condensed set of topics from linear algebra. When we find back to differential equations several of these topics will show up by chance and you will at least require knowing what the words mean.
The main topic from linear algebra that you should know however, if you are going to be capable to solve systems of differential equations is the topic of the subsequent section.