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Unformatted text preview: 56 PROBLEMS FOR CHAPTER 1 Finally we can also write the system of linear equations in vector equation or vector form. {111 G12 {1191 51 {121 £122 {12“ ()2 331 + $2 _ + i i + 33’“ : aml am2 amn hm. This vector equation can be written more concisely as 331211 +$2a2 -|— * - * +mnan = b, where {113' b1 £123" _ 52 a3: _ for léjén and b: amj bm Notice that the vector aj contains the coefficients of the variable .13 in the system of linear equations. The vector 1) is called the right-hand-side vector. This vector form of the system of equations shows that solving the system means expressing the. rioht—hanri—sirie. ventnr h as. n. linear combination nF the ventnrs n1 _ Rn _____ an. ...
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