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what is meant by rank of a matrix? Plz explain with an example.

what is meant by rank of a matrix? Plz explain with an example.

Grade:12

2 Answers

Askiitians Expert Nagaraju
23 Points
14 years ago
Dear SUMIT, Hope doing well in your studies. RANK OF A MATRIX : The rank of a matrix is the maximum number of independent rows (or, the maximum number of independent columns). For Example 1 2 0 3 1 7 3 0 0 0 4 8 2 4 0 6 Start with row 1: See if row 2, 3 or 4 are multiples. If so, cross that out. Go to row 2: See if row 3 or 4 are multiples... Finally compare row 3 and 4. This is for 4 rows, but you can extend this to n rows. Similarlly go for Columns as well. All the Best Sumit!!! Regards Askiitians Experts Nagaraju.T
sumit kumar
33 Points
14 years ago

suppose  1 2 3

              4 5 6

              7 8 9

is a matrix. Then what is its rank?

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