NUR DIANA, FITRIYAH (2009) KAJIAN MATRIKSM NON SINGULAR PADA PENJUMLAHAN SUBDIRECT (LANGSUNGSEBAGIAN). Other thesis, University of Muhammadiyah Malang.

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Abstract
Linear algebra is represent one of the branch in mathematics science, such as matrix algebra. The addition matrix are represent one of them. And also, there are extension of addition matrix which sub direct is represent extension of addition matrix. There also some special matrix which represent the differential of previous matrix which one of them called Mmatrix. This thesis will present Mmatrix that having some benefit. For example : in calculation of convergent iteration sum method to solve large equation system, and can used in area like input and output system at economic model, queue theory, engineering and others. The purpose of this thesis is to describe and prove theorem of some properties from sub direct sums of nonsingular Mmatrices Some properties from sub direct sums of nonsingular Mmatrices are not commutative; the result of its sum is nonsingular if the inverse from sum sub direct is nonsingular, the result of sub direct sums of nonsingular Mmatrices is nonsingular if the element of each blocks matrix from inverse is nonnegative, the result of sub direct lower and upper triangular sums of nonsingular Mmatrices is nonsingular Mmatrices, inverse from nonsingular Mmatrices is nonsingular if the sub direct sum is nonsingular, inverse from sum inverse nonsingular matrixM is nonsingular Mmatrix if inverse from sum inverse of nonsingular matrix is Zmatrix. The result of sub direct sums of nonsingular Mmatrices is nonsingular Mmatrices.
Item Type:  Thesis (Other) 

Subjects:  L Education > L Education (General) 
Divisions:  Faculty of Teacher Training and Education > Department of Mathematics and Computing 
Depositing User:  Anggit Aldila 
Date Deposited:  21 Jun 2012 03:25 
Last Modified:  21 Jun 2012 03:25 
URI:  http://eprints.umm.ac.id/id/eprint/8874 
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