Initial Value Problem, Ordinary Differential Equation: Jordan and Diagonalization
Not what you're looking for?
Find the solution of the system X' using the "diagonalization" technique (actually the Jordan form in this case)
Please see the attached file.
Purchase this Solution
Solution Summary
The solution to a system expressed as matrices is found. Initial value problems and ordinary differential equations are solved by using Jordan and Diagonalization.
Solution Preview
because,
X' = AX + g
A = = {(a11,a12,a13),(a21,a22,a23),(a31,a32,a33)}
=> A = {(2,0,0),(-1,0,-1),(1,1,2)}
Now,
(A - lI)X = 0
=> determinant (A-lI) = 0
=> l = 1,1,2 (= eigen values) => non diagonalizable
=> eigen vectors = (0,1,-1) for l =1, (1,-1,1) for l = 2 but for ...
Education
- BEng, Allahabad University, India
- MSc , Pune University, India
- PhD (IP), Pune University, India
Recent Feedback
- " In question 2, you incorrectly add in the $3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
- "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
- "Answer was correct"
- "Great thanks"
- "Perfect solution..thank you"
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.