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It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system,
x?' = A x?
Here the eigenvalues of the matrix A are complex. By using complex eigenvalues we are going to have similar problem that we had back while we were looking at second order differential equations. We need our solutions to only have real numbers in them, though as our solutions to systems are of the form,
x?1 = ?h elt
We are going to contain complex numbers come in our solution from both the eigenvector and the eigenvalue. Getting rid of the complex numbers now will be same to how we did this back in the second order differential equation case, although will include a little more work this time around. It's simple to see how to do it in an example.
Example of Decimal to Fraction Conversion: Example: Convert 18.82 to a mixed number. Solution: Step 1: 18.82 is 18 and 82 hundredths. 18.82 = 18(8
Example: Joanne is given a four-question multiple-choice quiz. She hasnt studied the material to be quizzed, so she decides to answer the questions by randomly guessing the answe
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i love math..but i am afraid to study it... i mean i ma afraid that it may leave me in clay...what can you suggest me?
introduction
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some basics problems to work
ther are 162 student in a school.20 of them are girls .how many are boy
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