الفهرس 
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Abstract
A study on some particular classes of infinite matrices. It gives convenient methods for forming the associated matrices of a string and a semi block matrix . The study obtained the associated matrices formed as matrices of transformation The thesis discusses the eigenvalues, eigenvectors ad principal vectors of associated matrices of a string and of a semi-block matrix. The study investigates the associated matrices of two particularclasses of infinite matrices . The first class is that of T - matrices . The second class is the so-called Turnbull diagonal matrices.