introduction to matrices for engineers c t j dodson school of mathematics manchester university 1 what is a matrix amatrix is a rectangular array of elements usually numbers e g ...
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...Introduction to matrices for engineers c t j dodson school of mathematics manchester university what is a matrix amatrix rectangular array elements usually numbers e g the above i it has three columns and four rows whyuse we use in engineering because often need deal with several variables at once eg coordinates point plane are written x y or space as z these column form turns out that many operations needed be performed on points linear so can organized terms arrays then nd themselves under certain conditions added subtracted multiplied there arises whole new set algebraic rules their manipulation general an n m looks like here entries denoted example have etc capital ij letters used itself dimension called dimensions based original lecture notes by lewis pirnie addition possible add two together but only if they same which case simply corresponding don size say sum not dened undened multiplying whyshould want wecan motivate process looking rotations consider p axis now let obtained r...