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.

Q1:

What is the rank of the matrix ?

Q2:

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Q4:

Find the rank of the matrix .

Q5:

Find the rank of the matrix

Q6:

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Q8:

Q9:

Find the rank of the following matrix.

Q10:

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Q16:

If π΄ is an π Γ π matrix of rank π < π ,then what is the dimension of the null-space of π΄ .

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