6.1.1.c - LU Decomposition Method
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Practice Questions
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Define LU Decomposition.
💡 Hint: Think about how we can break down a matrix.
What are the two types of matrices involved in LU Decomposition?
💡 Hint: Think of the shapes of the matrices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does LU Decomposition do?
💡 Hint: Think of what LU Decomposition breaks a matrix into.
True or False: LU Decomposition can only be applied to square matrices.
💡 Hint: Consider the shape of matrices that can be decomposed.
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Challenge Problems
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Consider the matrix A = [[a, b], [c, d]]. Propose how one might approach LU Decomposition for this general case.
💡 Hint: Use the properties of lower and upper triangular matrices.
Given the system of equations represented by a matrix A, identify how changing a single element can affect the LU Decomposition.
💡 Hint: Think about how dependent the matrices are on their initial elements.
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