MATRICES

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UNIT I

MATRICES


1.2 EIGEN VALUES AND EIGEN VECTORS OF
I I REAL MATRICES


20BSMA101
ENGINEERING MATHEMATICS I
(Common to All Branches except CSBS)

, 20BSMA101
ENGINEERING MATHEMATICS I (Common to All Branches Except CSBS)


EIGEN VALUES AND EIGEN VECTORS OF REAL MATRIX

Definition

Let A be a square matrix of order n. A number λ is called an eigen value of A if there exists
a non – zero column matrix X such that AX = λX. Then X is called an eigen vector
corresponding to an eigen value λ.

CHARACTERISTIC EQUATION OF A MATRIX

If λ is a characteristic root of a square matrix A, then det (A – λI) = 0 is called the
characteristic equation of the matrix A.

, 20BSMA101
ENGINEERING MATHEMATICS I (Common to All Branches Except CSBS)

, 20BSMA101
ENGINEERING MATHEMATICS I (Common to All Branches Except CSBS)