Practice Types of Matrix Forms - 22.2 | 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 (REF).

💡 Hint: Look into the properties of arranged rows.

Question 2

Easy

What is the leading coefficient?

💡 Hint: Think about where it appears in the row.

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 Row Echelon Form?

  • A form where all entries are zero
  • All non-zero rows above zero rows
  • All rows must be the same

💡 Hint: Think about the arrangement of rows.

Question 2

Is it true that every matrix in RREF has leading ones only?

  • True
  • False

💡 Hint: Consider the strict conditions of RREF.

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Challenge Problems

Push your limits with challenges.

Question 1

Prove whether the following matrix is in Row Echelon Form:
[2 4 6]
[0 1 5]
[0 0 0]

💡 Hint: Check the arrangement of the rows and the leading coefficients.

Question 2

Using the matrix
[1 2 3]
[2 5 4]
[3 6 5], guide through the steps to convert it to Reduced Row Echelon Form.

💡 Hint: Focus on achieving leading ones and clearing out columns.

Challenge and get performance evaluation