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...College of engineering and computer science mechanical department analysis notes last updated march larry caretto introduction to matrix these provide an the use matrices in notation is used simplify representation systems linear algebraic equations addition provides important properties regarding system discussion here presents many results without proof you can refer a general advanced math text or on algebra for such proofs parts have been prepared variety courses background information problems consequently some material may not be this course different sections from assigned at times basic definitions represented as two dimensional array elements where i row index j ij column entire by single boldface symbol we speak having n rows m columns called x equation shows typical am nm number sometimes written show its size defined that has equal square are represent physical quantities more than one usually structures networks which collection numbers individual stiffness members structu...