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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the maximum rank of a 4x5 matrix?
💡 Hint: Consider the smaller dimension.
Question 2
Easy
Is the rank of a matrix always less than its number of rows?
💡 Hint: Think about independence.
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 is the rank of a matrix?
💡 Hint: Recall the definition in context.
Question 2
Is the rank of a 2x3 matrix always 2 or less?
- True
- False
💡 Hint: Consider matrix dimensions.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the matrix [2 4 6; 1 2 3; 3 6 9], find its rank and justify your answer with calculations.
💡 Hint: Try reducing it to echelon form.
Question 2
Consider a 4x4 identity matrix. What is its rank, and explain why?
💡 Hint: Recall how identity matrices function.
Challenge and get performance evaluation