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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the rank of a zero matrix of size 4x4?
💡 Hint: Think about how many independent rows there are.
Question 2
Easy
What is the rank of the identity matrix of size 3?
💡 Hint: Recall the definition of an identity matrix.
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 zero matrix?
- 0
- 1
- n
💡 Hint: Remember what elements make up a zero matrix.
Question 2
True or False: The rank of an identity matrix is always less than its order.
- True
- False
💡 Hint: Consider the properties of identity matrices.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a diagonal matrix D = [0 0 7; 0 8 0; 9 0 0], determine its rank and explain why.
💡 Hint: Count all non-zero values on the diagonal.
Question 2
For an upper triangular matrix U = [3 5 0; 0 0 0; 1 4 0], calculate the rank and justify your reasoning.
💡 Hint: Only consider rows that have at least one non-zero element.
Challenge and get performance evaluation