Practice Method 1: Echelon Form - 22.4.1 | 22. Rank of a Matrix | Mathematics (Civil Engineering -1)
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Practice Questions

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Question 1

Easy

Define Row Echelon Form.

💡 Hint: Think about how rows are organized.

Question 2

Easy

What are the three elementary row operations?

💡 Hint: These operations are used to manipulate matrices.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

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Question 1

What is the first step to find the rank of a matrix using Echelon Form?

💡 Hint: Remember the purpose of Echelon Form.

Question 2

When a matrix is in REF, how do you determine its rank?

💡 Hint: What remains after you've manipulated the matrix?

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Challenge Problems

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Question 1

Given the matrix B: [1 0 2; 0 0 0; 3 1 4], find its rank using Echelon Form.

💡 Hint: Focus on creating a leading 1 in the first pivot position.

Question 2

If we have a 5x3 matrix where all rows are multiples of the first row, what is its rank and why?

💡 Hint: Think about independence and what it means for the rows.

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