24.10 - Rank and Nullity
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Practice Questions
Test your understanding with targeted questions
Define Rank.
💡 Hint: Think about linearly independent columns.
What does Nullity represent?
💡 Hint: Relate it to the zeros produced by the matrix.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the rank of a matrix?
💡 Hint: Think about how columns interact in terms of independence.
True or False: The nullity of a matrix represents the number of linearly independent columns.
💡 Hint: Focus on the definition of nullity.
1 more question available
Challenge Problems
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For the following matrix A, determine its rank and nullity. Show your process: A = [[1, 0, 0], [0, 1, 0], [0, 0, 0]].
💡 Hint: Identify the leading ones in the rows to determine rank.
A matrix B has a rank of 3 and 7 columns. Determine its nullity and explain your reasoning.
💡 Hint: Use the Rank-Nullity theorem relation.
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