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N-Unit – I – ALGEBRA

UNIT – I ALGEBRA (Formulae)

A square matrix A is called a singular matrix

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CHAPTER 1.2: APPLICATIONS OF MATRICES AND DETERMINANTS:(Text)

An eigenvalue of a matrix is a special number associated with the matrix that provides significant insights into its properties and behaviors. Formally, for a square matrix A, a scalar Î» is called an eigenvalue if there exists a nonzero vector v (known as an eigenvector) such that: Av=λv In other words, the transformation described by the matrix AA scales the vector vv by

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MATRICES AND DETERMINANTS (Text)

Matrix and its applications are very important part of Mathematics. Also it is one of the most powerful tools of Mathematics. Matrix notation and operation are used in electronic spread sheet programmes for personal computer, business budgeting, sales projection, cost estimation, analyzing the results of an experiment etc. Also many physical operations such as magnification,

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