6.1.1 - Direct Methods
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Practice Questions
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Define Gaussian elimination.
💡 Hint: What type of matrix form does this technique achieve?
What is back-substitution?
💡 Hint: Think about its order of operations in solving.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main advantage of Gaussian elimination?
💡 Hint: Think about its structure and how it helps in solving.
Gauss-Jordan method results in what type of matrix?
💡 Hint: What is the final form associated with Gauss-Jordan?
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Challenge Problems
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What happens if you use Gaussian elimination on a singular matrix?
💡 Hint: What characteristic defines a singular matrix?
Design a model using both Gaussian and LU decomposition to solve a practical application in engineering.
💡 Hint: What type of engineering problems typically involve large systems?
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