21.15.3 - Sparse Matrices
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Practice Questions
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Define a sparse matrix.
💡 Hint: Think about the ratio of non-zero to zero elements.
What is one application of sparse matrices?
💡 Hint: Consider engineering simulations.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a sparse matrix?
💡 Hint: Consider the balance between zero and non-zero values.
True or False: All matrices are sparse matrices.
💡 Hint: Reflect on the definition we discussed.
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Challenge Problems
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You have a large matrix from finite element analysis with only 12 non-zero values out of 100 elements. How would you convert this to a sparse matrix representation?
💡 Hint: Think about what it means to store only what's necessary.
Analyze a scenario where using a dense matrix for a problem caused inefficiencies. How would sparse matrices solve these pitfalls?
💡 Hint: Consider the difference between filling a balloon and only keeping the essential air!
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