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Rank of a Matrix

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Rank of a Matrix

The rank of a matrix can be defined in two different forms and ways. One is the maximum number of linearly independent column vectors in the matrix. And another definition of the rank of a matrix can be put as the maximum number of linearly independent row vectors in the matrix. Either one of these definitions can be considered to characterize the rank of a matrix.

What is Rank of a Matrix?

To understand, the rank of matrix, let us consider a matrix with a set of r x c. This statement indicates that the matrix is having a set of ‘r’ row vectors with each row having ‘c’ elements in them, or you can consider it as a set of c column vectors, each having r elements.

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