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Question

The Rank of the following matrix is

⎢ ⎢ ⎢1003011200000011⎥ ⎥ ⎥


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Solution

Lets convert it into Echelon form

For that all no zero rows should be below all zero rows.

Interchange, R3 & R4

⎢ ⎢ ⎢1003011200110000⎥ ⎥ ⎥

This is now in Echelon form and the number of non zero rows are 3. Therefore Rank is 3.


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