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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the rank of a matrix indicate?
💡 Hint: Think about dimensions and independence.
Question 2
Easy
Name one type of row operation.
💡 Hint: Consider operations that change row positions.
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?
- True
- False
💡 Hint: Consider the definition of rank and its parameters.
Question 2
To find the rank of a matrix, we count the number of non-zero rows in REF. Is this statement True or False?
- True
- False
💡 Hint: Think about how we define row echelon form.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the matrix \[ \begin{bmatrix} 1 & 2 & 3 \ 0 & 0 & 0 \ 4 & 5 & 6 \end{bmatrix} \], apply both methods to find its rank.
💡 Hint: Ensure to perform both calculations for confirmation.
Question 2
Can you find the rank of the matrix \[ \begin{bmatrix} 1 & 2 \ 2 & 4 \ 3 & 6 \end{bmatrix}\]? What does this reveal about linear dependence?
💡 Hint: Remember to reduce the matrix carefully!
Challenge and get performance evaluation