22.3 - Elementary Row Operations
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Practice Questions
Test your understanding with targeted questions
What is an example of row swapping on the following matrix: [[3, 5], [7, 2]]?
💡 Hint: Consider the positions of the rows.
If you multiply the row [2, 4] by 3, what do you get?
💡 Hint: Multiply each element by 3.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What are the three types of elementary row operations?
💡 Hint: Recall our discussions about manipulating matrices.
True or False: Scalar multiplication can result in a row of zeros if the scalar is zero.
💡 Hint: Think about the effects of multiplying by zero.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Using the 3x3 matrix [[2, 3, 4], [1, 2, 1], [5, 6, 7]], perform a series of row operations to bring this matrix to REF and determine its rank.
💡 Hint: Work systematically to isolate leading ones.
Prove that using an elementary row operation will not change the rank of the matrix [[1, 0, 2], [2, 4, 6], [0, 0, 0]] by demonstrating a specific operation.
💡 Hint: Examine how the relationships between rows stay intact.
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