IIT JEE , AIEEE Forum - Mathematics , Vectors

neeraj ji

what is the rank of a null matrix.

edison

Rank of a null matrix is zero

puneet

The rank is defined as the number of linearly independent columns in a matrix.

Do you understand what linear independence means? If yes you can check for yourself that null matrix have no column which is linearly independent.

This way you can find rank of any matrix. I think this helps you.

neeraj

Determined number r, that is, the largest order among the non-zero minor determinants of A, is called the rank of A.

Accordingly, there exists in a matrix of rank r at least one non-zero minor determinant of order r, while all minor determinants of order higher than r, if present, vanish.

Obviously, the rank of a matrix A does not change if you alter arbitrarily the sequence of its rows and columns, for the set of the minor determinants remains the same apart from changes in sign.

sam

hi,,,,

as null matrix doesn't have any row whose all elements are 0, the rank of null matrix is 0

anil

yes man

Ayyanar

Yah Thats right.

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