Rank of Matrix

Hi all,

Does any one have an idea intuitively what the rank of matrix is? Why do we need it?



Sure! Think of the rank of a matrix as the “effective dimension” it has. It helps us understand the matrix’s behavior in systems of equations, transformations, and data analysis. It’s like finding out how much meaningful information the matrix contains.

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In simple concept, the rank of a matrix is the number of rows (or columns) which are unique.

Unique means that a row (or column) is not just the linear combination of other rows (or columns).

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