Lesson: Rank of a Matrix by Echelon Form

In this lesson, we will learn how to determine the rank of a matrix by transforming it to its row echelon form then counting the nonzero rows.

Worksheet: Rank of a Matrix by Echelon Form • 11 Questions

Q1:

What is the rank of the matrix ?

Q2:

Find the rank of the matrix .

Q3:

Find the rank of the given matrix.

Q4:

Find the rank of the matrix

Q5:

Find the rank of the given matrix.

Q6:

Find the rank of the following matrix.

Q7:

If is an matrix of rank ,then what is the dimension of the null-space of .

Q8:

Find the rank of the matrix .

Q9:

Find the rank of the matrix .

Q10:

What is the rank of the matrix ?

Q11:

What is the rank of the matrix ?

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