1 introduction to matrix algebra

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STRUCTURAL ANALYSIS II Lecturer: Achfas Zacoeb INTRODUCTION TO MATRIX ALGEBRA 1. Definition of Matrix If we have a linier simultaneous system: 2 x + 3 y + 2 z = 4 x + y + 3 z = 5 - x + 2 y - z = 8 Hence, the coefficient of equation can be written as: = 8 5 4 1 2 1 3 1 1 2 3 2 z y x [ ] { } { } B X  A = The series of number above, which notation of [A], {X}, or {B} called as matrix, and in generally matrix [A] can be written as: mn mj m m m in ij i i i n  j n  j n  j a a a a a a a a a a a a a a a a a a a a a a a a a 3 2 1 3 2 1 3 3 33 32 31 2 2 23 22 21 1 1 13 12 11 where: m, n : real number 1 a ij : elements of matrix [A] (i = 1, 2, …, m) ; (j = 1, 2, …, n) m : the number of row n : the number of column the order of matrix : m x n Matrix with order m x n, in common be written as [A]mxn 2. Types of Matrixes

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7/28/2019 1 Introduction to Matrix Algebra

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