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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is an example of row swapping on the following matrix: [[3, 5], [7, 2]]?
💡 Hint: Consider the positions of the rows.
Question 2
Easy
If you multiply the row [2, 4] by 3, what do you get?
💡 Hint: Multiply each element by 3.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What are the three types of elementary row operations?
- Row Addition
- Row Multiplication
- Row Substitution
- Row Swapping
- Row Addition
- Scalar Multiplication
- Row Swapping
- Scalar Division
- Row Elimination
💡 Hint: Recall our discussions about manipulating matrices.
Question 2
True or False: Scalar multiplication can result in a row of zeros if the scalar is zero.
- True
- False
💡 Hint: Think about the effects of multiplying by zero.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation