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Rank of a matrix is used to find consistency of linear system of equations.As we know most of the engineering problems land up with the problem of finding solution of a linear system of equations ,at that point rank of matrix is useful.
When its matrix is non-singular.
A data matrix bar code is used on almost very product which is found in stores. The data matrix bar code is used to identify a product and find the price in a computer system.
If one (or more) of the equations can be expressed as a linear combination of the others. This is equivalent to the statements the matrix of coefficients does not have an inverse (or is singular), or the determinant of the matrix of coefficients is zero.
ya yes its there a matrix called zero matrix