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In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that does not change its direction, when that linear transformation is applied to it. More formally, if T is a linear transformation from a vector space V over a field F into itself and V is a vector in V that is not the zero vector, then v is an eigenvector of T if T (v) is a scalar multiple of v. This condition can be written as the equation
{\displaystyle T(\mathbf {v} )=\lambda \mathbf {v} ,} {\displaystyle T(\mathbf {v} )=\lambda \mathbf {v} ,}
Where is a scalar in the field F, known as the eigenvalue, characteristic value, or characteristic root associated with the eigenvector v.
If the vector space V is finite-dimensional, then the linear transformation T can be represented as a square matrix A, and the vector v by a column vector, rendering the above mapping as a matrix multiplication on the left hand side and a scaling of the column vector on the right hand side in the equation
{\displaystyle A\mathbf {v} =\lambda \mathbf {v} .} {\displaystyle A\mathbf {v} =\lambda \mathbf {v} .}
There is a correspondence between n by n square matrices and linear transformations from an n-dimensional vector space to itself. For this reason, it is equivalent to define eigenvalues and eigenvectors using either the language of matrices or the language of linear transformations.

The admission is given as per merit of candidates and availability of seats. For admission in various central institute of fisheries education in the country, the candidate have to appear for an all India level common entrance test conducted by ICAR (Indian Council of Agricultural Research), New Delhi. Special quota for outside state candidates is allowed to the candidates who have passed entrance exam of ICAR and are getting fellowship too.
After completing B.F.Sc., one can take M.F.Sc. which is of 2 year duration. (Masters of Fisheries Science). After getting a professional degree in fisheries science, one can go into research- oriented activities.