Differential Equations Workbook For Dummies®

11.6. Answers to Systems of Linear First Order Differential Equation Problems

Following are the answers to the practice questions presented throughout this chapter. Each one is worked out step by step so that if you messed one up along the way, you can more easily see where you took a wrong turn.

1 Find the sum of A + B if A and B are

Solution:

1. A + B is

   

2. By adding element to element, you get

   

2 What's A + B if A and B are

Solution:

1. Here's what A + B looks like written out fully:

   

2. Add the corresponding elements to each other to find the solution:

   

3 What's the product of A and B if

Solution:

1. Here's what the problem looks like with the numbers filled in:

2. Refer to the rule for matrix ...