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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the rank of the following matrix: [1 0; 0 1]?
💡 Hint: Count the independent rows.
Question 2
Easy
Is the rank of a zero matrix always zero?
💡 Hint: Think about how many elements are non-zero.
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 maximum rank of a 4x2 matrix?
- 2
- 4
- 0
💡 Hint: Think about the number of columns.
Question 2
True or False: The rank of a diagonal matrix is equal to the number of non-zero elements on its diagonal.
- True
- False
💡 Hint: Remember the properties of diagonal matrices.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the matrix A = [4 2 1; 2 6 2; 6 4 0], calculate the rank using both the method of row reduction and determinants of minors.
💡 Hint: Use row operations and then check smaller square matrices.
Question 2
Can you provide a matrix with rank 1 and explain why it is so?
💡 Hint: Check if one row can be generated from another.
Challenge and get performance evaluation