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The eigenvalue problems arise in a variety of Science and Engineering applications. This paper is significantly concerned with the students’ academic performance using Eigen values and Eigen vectors of covariant matrix .A case study of two departments i.e Electronics and Electrical Engineering for 13 and 14 batches is taken into consideration. It aims at analyzing performance of students on the basis of their results in various subjects. Covariance matrix has been developed from the data and the sample size of each batch has been taken 100 for the better testing hypothesis. From the results it has been analyzed that the performance of 14electrical engineering students is better in the subject of Applied Calculus whereas poor performance of 13 Electrical students in the subject of applied physics has been noticed.